Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.18 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309887 | − | 0.309887i | −0.219123 | − | 0.219123i | 0.589006 | − | 0.808129i | \(-0.299520\pi\) |
−0.808129 | + | 0.589006i | \(0.799520\pi\) | |||||||
\(3\) | −1.71259 | + | 0.258881i | −0.988767 | + | 0.149465i | ||||
\(4\) | − | 1.80794i | − | 0.903970i | ||||||
\(5\) | 2.07755 | − | 0.826926i | 0.929106 | − | 0.369813i | ||||
\(6\) | 0.610935 | + | 0.450487i | 0.249413 | + | 0.183911i | ||||
\(7\) | −2.09180 | − | 1.61999i | −0.790627 | − | 0.612298i | ||||
\(8\) | −1.18003 | + | 1.18003i | −0.417204 | + | 0.417204i | ||||
\(9\) | 2.86596 | − | 0.886717i | 0.955320 | − | 0.295572i | ||||
\(10\) | −0.900059 | − | 0.387551i | −0.284624 | − | 0.122554i | ||||
\(11\) | −0.950499 | − | 1.64631i | −0.286586 | − | 0.496382i | 0.686406 | − | 0.727218i | \(-0.259187\pi\) |
−0.972993 | + | 0.230836i | \(0.925854\pi\) | |||||||
\(12\) | 0.468042 | + | 3.09627i | 0.135112 | + | 0.893816i | ||||
\(13\) | −1.52516 | + | 5.69197i | −0.423003 | + | 1.57867i | 0.345243 | + | 0.938513i | \(0.387797\pi\) |
−0.768246 | + | 0.640155i | \(0.778870\pi\) | |||||||
\(14\) | 0.146209 | + | 1.15024i | 0.0390760 | + | 0.307414i | ||||
\(15\) | −3.34392 | + | 1.95403i | −0.863396 | + | 0.504527i | ||||
\(16\) | −2.88453 | −0.721131 | ||||||||
\(17\) | −0.793898 | − | 2.96287i | −0.192549 | − | 0.718601i | −0.992888 | − | 0.119054i | \(-0.962014\pi\) |
0.800339 | − | 0.599547i | \(-0.204653\pi\) | |||||||
\(18\) | −1.16291 | − | 0.613343i | −0.274100 | − | 0.144566i | ||||
\(19\) | −3.18848 | − | 5.52261i | −0.731487 | − | 1.26697i | −0.956248 | − | 0.292559i | \(-0.905493\pi\) |
0.224761 | − | 0.974414i | \(-0.427840\pi\) | |||||||
\(20\) | −1.49503 | − | 3.75608i | −0.334299 | − | 0.839884i | ||||
\(21\) | 4.00179 | + | 2.23286i | 0.873263 | + | 0.487249i | ||||
\(22\) | −0.215624 | + | 0.804719i | −0.0459711 | + | 0.171567i | ||||
\(23\) | −1.45698 | − | 5.43751i | −0.303801 | − | 1.13380i | −0.933973 | − | 0.357344i | \(-0.883682\pi\) |
0.630172 | − | 0.776456i | \(-0.282984\pi\) | |||||||
\(24\) | 1.71543 | − | 2.32641i | 0.350160 | − | 0.474875i | ||||
\(25\) | 3.63239 | − | 3.43595i | 0.726477 | − | 0.687190i | ||||
\(26\) | 2.23650 | − | 1.29124i | 0.438613 | − | 0.253233i | ||||
\(27\) | −4.67868 | + | 2.26053i | −0.900411 | + | 0.435039i | ||||
\(28\) | −2.92884 | + | 3.78185i | −0.553499 | + | 0.714703i | ||||
\(29\) | −5.53780 | − | 3.19725i | −1.02834 | − | 0.593714i | −0.111833 | − | 0.993727i | \(-0.535672\pi\) |
−0.916510 | + | 0.400013i | \(0.869006\pi\) | |||||||
\(30\) | 1.64177 | + | 0.430709i | 0.299744 | + | 0.0786364i | ||||
\(31\) | 7.38069i | 1.32561i | 0.748792 | + | 0.662806i | \(0.230634\pi\) | ||||
−0.748792 | + | 0.662806i | \(0.769366\pi\) | |||||||
\(32\) | 3.25394 | + | 3.25394i | 0.575221 | + | 0.575221i | ||||
\(33\) | 2.05402 | + | 2.57340i | 0.357559 | + | 0.447971i | ||||
\(34\) | −0.672136 | + | 1.16417i | −0.115270 | + | 0.199654i | ||||
\(35\) | −5.68542 | − | 1.63583i | −0.961012 | − | 0.276507i | ||||
\(36\) | −1.60313 | − | 5.18148i | −0.267188 | − | 0.863581i | ||||
\(37\) | −0.463991 | + | 1.73164i | −0.0762797 | + | 0.284680i | −0.993520 | − | 0.113654i | \(-0.963745\pi\) |
0.917241 | + | 0.398333i | \(0.130411\pi\) | |||||||
\(38\) | −0.723317 | + | 2.69945i | −0.117337 | + | 0.437909i | ||||
\(39\) | 1.13844 | − | 10.1429i | 0.182295 | − | 1.62416i | ||||
\(40\) | −1.47577 | + | 3.42737i | −0.233340 | + | 0.541915i | ||||
\(41\) | 4.04922 | − | 2.33782i | 0.632383 | − | 0.365106i | −0.149292 | − | 0.988793i | \(-0.547699\pi\) |
0.781674 | + | 0.623687i | \(0.214366\pi\) | |||||||
\(42\) | −0.548171 | − | 1.93204i | −0.0845847 | − | 0.298120i | ||||
\(43\) | 0.222108 | + | 0.828918i | 0.0338711 | + | 0.126409i | 0.980791 | − | 0.195060i | \(-0.0624902\pi\) |
−0.946920 | + | 0.321469i | \(0.895823\pi\) | |||||||
\(44\) | −2.97643 | + | 1.71844i | −0.448714 | + | 0.259065i | ||||
\(45\) | 5.22091 | − | 4.21213i | 0.778288 | − | 0.627908i | ||||
\(46\) | −1.23352 | + | 2.13652i | −0.181872 | + | 0.315012i | ||||
\(47\) | 2.65311 | − | 2.65311i | 0.386996 | − | 0.386996i | −0.486618 | − | 0.873615i | \(-0.661770\pi\) |
0.873615 | + | 0.486618i | \(0.161770\pi\) | |||||||
\(48\) | 4.94002 | − | 0.746749i | 0.713031 | − | 0.107784i | ||||
\(49\) | 1.75127 | + | 6.77739i | 0.250182 | + | 0.968199i | ||||
\(50\) | −2.19039 | − | 0.0608726i | −0.309768 | − | 0.00860868i | ||||
\(51\) | 2.12666 | + | 4.86867i | 0.297791 | + | 0.681750i | ||||
\(52\) | 10.2907 | + | 2.75740i | 1.42707 | + | 0.382382i | ||||
\(53\) | −1.80022 | − | 6.71852i | −0.247279 | − | 0.922860i | −0.972224 | − | 0.234052i | \(-0.924801\pi\) |
0.724944 | − | 0.688807i | \(-0.241865\pi\) | |||||||
\(54\) | 2.15037 | + | 0.749353i | 0.292629 | + | 0.101974i | ||||
\(55\) | −3.33608 | − | 2.63429i | −0.449837 | − | 0.355208i | ||||
\(56\) | 4.38003 | − | 0.556754i | 0.585307 | − | 0.0743994i | ||||
\(57\) | 6.89027 | + | 8.63255i | 0.912638 | + | 1.14341i | ||||
\(58\) | 0.725306 | + | 2.70688i | 0.0952374 | + | 0.355431i | ||||
\(59\) | 13.9208 | 1.81233 | 0.906164 | − | 0.422926i | \(-0.138997\pi\) | ||||
0.906164 | + | 0.422926i | \(0.138997\pi\) | |||||||
\(60\) | 3.53276 | + | 6.04560i | 0.456078 | + | 0.780484i | ||||
\(61\) | 0.121188i | 0.0155165i | 0.999970 | + | 0.00775825i | \(0.00246955\pi\) | ||||
−0.999970 | + | 0.00775825i | \(0.997530\pi\) | |||||||
\(62\) | 2.28718 | − | 2.28718i | 0.290472 | − | 0.290472i | ||||
\(63\) | −7.43149 | − | 2.78799i | −0.936280 | − | 0.351254i | ||||
\(64\) | 3.75234i | 0.469042i | ||||||||
\(65\) | 1.53825 | + | 13.0865i | 0.190797 | + | 1.62318i | ||||
\(66\) | 0.160950 | − | 1.43398i | 0.0198115 | − | 0.176510i | ||||
\(67\) | −4.41772 | − | 4.41772i | −0.539710 | − | 0.539710i | 0.383734 | − | 0.923444i | \(-0.374638\pi\) |
−0.923444 | + | 0.383734i | \(0.874638\pi\) | |||||||
\(68\) | −5.35669 | + | 1.43532i | −0.649594 | + | 0.174058i | ||||
\(69\) | 3.90288 | + | 8.93507i | 0.469852 | + | 1.07566i | ||||
\(70\) | 1.25492 | + | 2.26877i | 0.149991 | + | 0.271169i | ||||
\(71\) | 6.09435 | 0.723266 | 0.361633 | − | 0.932321i | \(-0.382219\pi\) | ||||
0.361633 | + | 0.932321i | \(0.382219\pi\) | |||||||
\(72\) | −2.33557 | + | 4.42828i | −0.275250 | + | 0.521878i | ||||
\(73\) | 7.40385 | − | 1.98385i | 0.866555 | − | 0.232193i | 0.201957 | − | 0.979394i | \(-0.435270\pi\) |
0.664597 | + | 0.747202i | \(0.268603\pi\) | |||||||
\(74\) | 0.680398 | − | 0.392828i | 0.0790946 | − | 0.0456653i | ||||
\(75\) | −5.33130 | + | 6.82475i | −0.615606 | + | 0.788054i | ||||
\(76\) | −9.98454 | + | 5.76458i | −1.14531 | + | 0.661242i | ||||
\(77\) | −0.678752 | + | 4.98356i | −0.0773510 | + | 0.567929i | ||||
\(78\) | −3.49593 | + | 2.79036i | −0.395837 | + | 0.315946i | ||||
\(79\) | − | 11.5617i | − | 1.30079i | −0.759597 | − | 0.650394i | \(-0.774604\pi\) | ||
0.759597 | − | 0.650394i | \(-0.225396\pi\) | |||||||
\(80\) | −5.99273 | + | 2.38529i | −0.670008 | + | 0.266683i | ||||
\(81\) | 7.42747 | − | 5.08259i | 0.825274 | − | 0.564733i | ||||
\(82\) | −1.97926 | − | 0.530342i | −0.218573 | − | 0.0585665i | ||||
\(83\) | 10.5520 | − | 2.82739i | 1.15823 | − | 0.310347i | 0.371972 | − | 0.928244i | \(-0.378682\pi\) |
0.786259 | + | 0.617897i | \(0.212015\pi\) | |||||||
\(84\) | 4.03687 | − | 7.23500i | 0.440459 | − | 0.789403i | ||||
\(85\) | −4.09943 | − | 5.49900i | −0.444646 | − | 0.596450i | ||||
\(86\) | 0.188043 | − | 0.325700i | 0.0202772 | − | 0.0351211i | ||||
\(87\) | 10.3117 | + | 4.04196i | 1.10553 | + | 0.433344i | ||||
\(88\) | 3.06432 | + | 0.821082i | 0.326658 | + | 0.0875276i | ||||
\(89\) | 1.32892 | + | 2.30175i | 0.140865 | + | 0.243985i | 0.927823 | − | 0.373022i | \(-0.121678\pi\) |
−0.786958 | + | 0.617007i | \(0.788345\pi\) | |||||||
\(90\) | −2.92318 | − | 0.312609i | −0.308130 | − | 0.0329518i | ||||
\(91\) | 12.4113 | − | 9.43573i | 1.30105 | − | 0.989134i | ||||
\(92\) | −9.83070 | + | 2.63413i | −1.02492 | + | 0.274627i | ||||
\(93\) | −1.91072 | − | 12.6401i | −0.198133 | − | 1.31072i | ||||
\(94\) | −1.64433 | −0.169600 | ||||||||
\(95\) | −11.1910 | − | 8.83683i | −1.14817 | − | 0.906639i | ||||
\(96\) | −6.41507 | − | 4.73030i | −0.654735 | − | 0.482784i | ||||
\(97\) | 1.71156 | + | 6.38763i | 0.173783 | + | 0.648565i | 0.996756 | + | 0.0804851i | \(0.0256470\pi\) |
−0.822973 | + | 0.568080i | \(0.807686\pi\) | |||||||
\(98\) | 1.55753 | − | 2.64292i | 0.157334 | − | 0.266976i | ||||
\(99\) | −4.18390 | − | 3.87544i | −0.420498 | − | 0.389497i | ||||
\(100\) | −6.21199 | − | 6.56714i | −0.621199 | − | 0.656714i | ||||
\(101\) | −5.12832 | + | 2.96084i | −0.510287 | + | 0.294614i | −0.732951 | − | 0.680281i | \(-0.761858\pi\) |
0.222665 | + | 0.974895i | \(0.428524\pi\) | |||||||
\(102\) | 0.849714 | − | 2.16776i | 0.0841342 | − | 0.214640i | ||||
\(103\) | −6.85713 | + | 1.83736i | −0.675653 | + | 0.181041i | −0.580300 | − | 0.814403i | \(-0.697065\pi\) |
−0.0953533 | + | 0.995443i | \(0.530398\pi\) | |||||||
\(104\) | −4.91697 | − | 8.51645i | −0.482149 | − | 0.835106i | ||||
\(105\) | 10.1603 | + | 1.32967i | 0.991545 | + | 0.129763i | ||||
\(106\) | −1.52412 | + | 2.63985i | −0.148035 | + | 0.256405i | ||||
\(107\) | −1.28575 | + | 4.79848i | −0.124298 | + | 0.463886i | −0.999814 | − | 0.0193034i | \(-0.993855\pi\) |
0.875516 | + | 0.483190i | \(0.160522\pi\) | |||||||
\(108\) | 4.08690 | + | 8.45876i | 0.393262 | + | 0.813945i | ||||
\(109\) | −3.77073 | − | 2.17703i | −0.361170 | − | 0.208522i | 0.308424 | − | 0.951249i | \(-0.400199\pi\) |
−0.669594 | + | 0.742727i | \(0.733532\pi\) | |||||||
\(110\) | 0.217475 | + | 1.85014i | 0.0207354 | + | 0.176404i | ||||
\(111\) | 0.346340 | − | 3.08571i | 0.0328731 | − | 0.292883i | ||||
\(112\) | 6.03386 | + | 4.67290i | 0.570146 | + | 0.441547i | ||||
\(113\) | 1.06804 | + | 0.286180i | 0.100472 | + | 0.0269215i | 0.308705 | − | 0.951158i | \(-0.400104\pi\) |
−0.208233 | + | 0.978079i | \(0.566771\pi\) | |||||||
\(114\) | 0.539910 | − | 4.81032i | 0.0505672 | − | 0.450528i | ||||
\(115\) | −7.52336 | − | 10.0919i | −0.701557 | − | 0.941072i | ||||
\(116\) | −5.78043 | + | 10.0120i | −0.536700 | + | 0.929591i | ||||
\(117\) | 0.676121 | + | 17.6653i | 0.0625074 | + | 1.63316i | ||||
\(118\) | −4.31387 | − | 4.31387i | −0.397124 | − | 0.397124i | ||||
\(119\) | −3.13914 | + | 7.48384i | −0.287764 | + | 0.686042i | ||||
\(120\) | 1.64012 | − | 6.25174i | 0.149721 | − | 0.570704i | ||||
\(121\) | 3.69310 | − | 6.39665i | 0.335737 | − | 0.581513i | ||||
\(122\) | 0.0375546 | − | 0.0375546i | 0.00340003 | − | 0.00340003i | ||||
\(123\) | −6.32946 | + | 5.05201i | −0.570708 | + | 0.455524i | ||||
\(124\) | 13.3438 | 1.19831 | ||||||||
\(125\) | 4.70517 | − | 10.1421i | 0.420843 | − | 0.907133i | ||||
\(126\) | 1.43896 | + | 3.16689i | 0.128193 | + | 0.282129i | ||||
\(127\) | 0.498638 | + | 0.498638i | 0.0442469 | + | 0.0442469i | 0.728884 | − | 0.684637i | \(-0.240039\pi\) |
−0.684637 | + | 0.728884i | \(0.740039\pi\) | |||||||
\(128\) | 7.67069 | − | 7.67069i | 0.677999 | − | 0.677999i | ||||
\(129\) | −0.594972 | − | 1.36210i | −0.0523844 | − | 0.119926i | ||||
\(130\) | 3.57866 | − | 4.53203i | 0.313869 | − | 0.397485i | ||||
\(131\) | −2.93017 | − | 1.69173i | −0.256010 | − | 0.147807i | 0.366503 | − | 0.930417i | \(-0.380555\pi\) |
−0.622513 | + | 0.782609i | \(0.713888\pi\) | |||||||
\(132\) | 4.65255 | − | 3.71354i | 0.404952 | − | 0.323222i | ||||
\(133\) | −2.27690 | + | 16.7175i | −0.197432 | + | 1.44959i | ||||
\(134\) | 2.73799i | 0.236526i | ||||||||
\(135\) | −7.85087 | + | 8.56527i | −0.675695 | + | 0.737181i | ||||
\(136\) | 4.43310 | + | 2.55945i | 0.380136 | + | 0.219471i | ||||
\(137\) | 4.22496 | − | 15.7678i | 0.360962 | − | 1.34713i | −0.511850 | − | 0.859075i | \(-0.671040\pi\) |
0.872813 | − | 0.488056i | \(-0.162294\pi\) | |||||||
\(138\) | 1.55941 | − | 3.97832i | 0.132746 | − | 0.338657i | ||||
\(139\) | −3.03618 | − | 5.25882i | −0.257526 | − | 0.446047i | 0.708053 | − | 0.706159i | \(-0.249574\pi\) |
−0.965578 | + | 0.260112i | \(0.916240\pi\) | |||||||
\(140\) | −2.95749 | + | 10.2789i | −0.249954 | + | 0.868726i | ||||
\(141\) | −3.85687 | + | 5.23055i | −0.324807 | + | 0.440491i | ||||
\(142\) | −1.88856 | − | 1.88856i | −0.158484 | − | 0.158484i | ||||
\(143\) | 10.8204 | − | 2.89932i | 0.904849 | − | 0.242454i | ||||
\(144\) | −8.26694 | + | 2.55776i | −0.688911 | + | 0.213146i | ||||
\(145\) | −14.1489 | − | 2.06308i | −1.17500 | − | 0.171329i | ||||
\(146\) | −2.90913 | − | 1.67959i | −0.240761 | − | 0.139004i | ||||
\(147\) | −4.75376 | − | 11.1536i | −0.392083 | − | 0.919930i | ||||
\(148\) | 3.13070 | + | 0.838868i | 0.257342 | + | 0.0689545i | ||||
\(149\) | 8.50694 | + | 4.91148i | 0.696916 | + | 0.402365i | 0.806198 | − | 0.591646i | \(-0.201522\pi\) |
−0.109282 | + | 0.994011i | \(0.534855\pi\) | |||||||
\(150\) | 3.76701 | − | 0.462800i | 0.307575 | − | 0.0377875i | ||||
\(151\) | 3.20293 | + | 5.54763i | 0.260650 | + | 0.451460i | 0.966415 | − | 0.256987i | \(-0.0827296\pi\) |
−0.705764 | + | 0.708447i | \(0.749396\pi\) | |||||||
\(152\) | 10.2794 | + | 2.75435i | 0.833766 | + | 0.223407i | ||||
\(153\) | −4.90251 | − | 7.78750i | −0.396344 | − | 0.629582i | ||||
\(154\) | 1.75468 | − | 1.33400i | 0.141396 | − | 0.107497i | ||||
\(155\) | 6.10329 | + | 15.3337i | 0.490228 | + | 1.23163i | ||||
\(156\) | −18.3377 | − | 2.05822i | −1.46819 | − | 0.164790i | ||||
\(157\) | 11.7296 | − | 11.7296i | 0.936128 | − | 0.936128i | −0.0619512 | − | 0.998079i | \(-0.519732\pi\) |
0.998079 | + | 0.0619512i | \(0.0197323\pi\) | |||||||
\(158\) | −3.58281 | + | 3.58281i | −0.285033 | + | 0.285033i | ||||
\(159\) | 4.82235 | + | 11.0401i | 0.382437 | + | 0.875534i | ||||
\(160\) | 9.45098 | + | 4.06944i | 0.747166 | + | 0.321718i | ||||
\(161\) | −5.76101 | + | 13.7345i | −0.454031 | + | 1.08243i | ||||
\(162\) | −3.87671 | − | 0.726646i | −0.304583 | − | 0.0570907i | ||||
\(163\) | −4.46029 | − | 1.19513i | −0.349357 | − | 0.0936098i | 0.0798735 | − | 0.996805i | \(-0.474548\pi\) |
−0.429230 | + | 0.903195i | \(0.641215\pi\) | |||||||
\(164\) | −4.22664 | − | 7.32075i | −0.330045 | − | 0.571655i | ||||
\(165\) | 6.39533 | + | 3.64783i | 0.497875 | + | 0.283983i | ||||
\(166\) | −4.14610 | − | 2.39375i | −0.321800 | − | 0.185791i | ||||
\(167\) | −6.61040 | − | 1.77125i | −0.511528 | − | 0.137064i | −0.00618319 | − | 0.999981i | \(-0.501968\pi\) |
−0.505345 | + | 0.862917i | \(0.668635\pi\) | |||||||
\(168\) | −7.35709 | + | 2.08740i | −0.567612 | + | 0.161047i | ||||
\(169\) | −18.8141 | − | 10.8623i | −1.44724 | − | 0.835563i | ||||
\(170\) | −0.433707 | + | 2.97443i | −0.0332638 | + | 0.228128i | ||||
\(171\) | −14.0350 | − | 13.0003i | −1.07329 | − | 0.994158i | ||||
\(172\) | 1.49863 | − | 0.401558i | 0.114270 | − | 0.0306185i | ||||
\(173\) | −3.81881 | − | 3.81881i | −0.290339 | − | 0.290339i | 0.546875 | − | 0.837214i | \(-0.315817\pi\) |
−0.837214 | + | 0.546875i | \(0.815817\pi\) | |||||||
\(174\) | −1.94292 | − | 4.44802i | −0.147292 | − | 0.337204i | ||||
\(175\) | −13.1644 | + | 1.30290i | −0.995138 | + | 0.0984903i | ||||
\(176\) | 2.74174 | + | 4.74883i | 0.206666 | + | 0.357956i | ||||
\(177\) | −23.8406 | + | 3.60382i | −1.79197 | + | 0.270880i | ||||
\(178\) | 0.301469 | − | 1.12510i | 0.0225961 | − | 0.0843296i | ||||
\(179\) | 4.96723 | + | 2.86783i | 0.371268 | + | 0.214352i | 0.674012 | − | 0.738720i | \(-0.264570\pi\) |
−0.302744 | + | 0.953072i | \(0.597903\pi\) | |||||||
\(180\) | −7.61528 | − | 9.43910i | −0.567610 | − | 0.703549i | ||||
\(181\) | − | 3.30293i | − | 0.245504i | −0.992437 | − | 0.122752i | \(-0.960828\pi\) | ||
0.992437 | − | 0.122752i | \(-0.0391721\pi\) | |||||||
\(182\) | −6.77011 | − | 0.922078i | −0.501834 | − | 0.0683489i | ||||
\(183\) | −0.0313732 | − | 0.207546i | −0.00231918 | − | 0.0153422i | ||||
\(184\) | 8.13572 | + | 4.69716i | 0.599773 | + | 0.346279i | ||||
\(185\) | 0.467974 | + | 3.98124i | 0.0344062 | + | 0.292707i | ||||
\(186\) | −3.32491 | + | 4.50913i | −0.243794 | + | 0.330625i | ||||
\(187\) | −4.12320 | + | 4.12320i | −0.301519 | + | 0.301519i | ||||
\(188\) | −4.79667 | − | 4.79667i | −0.349833 | − | 0.349833i | ||||
\(189\) | 13.4489 | + | 2.85082i | 0.978263 | + | 0.207367i | ||||
\(190\) | 0.729526 | + | 6.20637i | 0.0529254 | + | 0.450257i | ||||
\(191\) | 14.9430 | 1.08124 | 0.540620 | − | 0.841267i | \(-0.318190\pi\) | ||||
0.540620 | + | 0.841267i | \(0.318190\pi\) | |||||||
\(192\) | −0.971410 | − | 6.42624i | −0.0701055 | − | 0.463774i | ||||
\(193\) | −1.82355 | + | 1.82355i | −0.131262 | + | 0.131262i | −0.769686 | − | 0.638423i | \(-0.779587\pi\) |
0.638423 | + | 0.769686i | \(0.279587\pi\) | |||||||
\(194\) | 1.44905 | − | 2.50984i | 0.104036 | − | 0.180196i | ||||
\(195\) | −6.02226 | − | 22.0137i | −0.431263 | − | 1.57643i | ||||
\(196\) | 12.2531 | − | 3.16619i | 0.875223 | − | 0.226157i | ||||
\(197\) | −12.2219 | − | 12.2219i | −0.870771 | − | 0.870771i | 0.121786 | − | 0.992556i | \(-0.461138\pi\) |
−0.992556 | + | 0.121786i | \(0.961138\pi\) | |||||||
\(198\) | 0.0955886 | + | 2.49749i | 0.00679318 | + | 0.177489i | ||||
\(199\) | −11.2441 | + | 19.4754i | −0.797075 | + | 1.38057i | 0.124439 | + | 0.992227i | \(0.460287\pi\) |
−0.921513 | + | 0.388346i | \(0.873046\pi\) | |||||||
\(200\) | −0.231799 | + | 8.34087i | −0.0163907 | + | 0.589788i | ||||
\(201\) | 8.70942 | + | 6.42209i | 0.614315 | + | 0.452979i | ||||
\(202\) | 2.50673 | + | 0.671675i | 0.176373 | + | 0.0472589i | ||||
\(203\) | 6.40447 | + | 15.6592i | 0.449505 | + | 1.09906i | ||||
\(204\) | 8.80225 | − | 3.84487i | 0.616281 | − | 0.269194i | ||||
\(205\) | 6.47924 | − | 8.20534i | 0.452530 | − | 0.573086i | ||||
\(206\) | 2.69431 | + | 1.55556i | 0.187722 | + | 0.108381i | ||||
\(207\) | −8.99718 | − | 14.2918i | −0.625347 | − | 0.993347i | ||||
\(208\) | 4.39936 | − | 16.4186i | 0.305041 | − | 1.13843i | ||||
\(209\) | −6.06129 | + | 10.4985i | −0.419268 | + | 0.726194i | ||||
\(210\) | −2.73650 | − | 3.56060i | −0.188837 | − | 0.245705i | ||||
\(211\) | 9.69270 | + | 16.7882i | 0.667273 | + | 1.15575i | 0.978664 | + | 0.205469i | \(0.0658718\pi\) |
−0.311391 | + | 0.950282i | \(0.600795\pi\) | |||||||
\(212\) | −12.1467 | + | 3.25469i | −0.834237 | + | 0.223533i | ||||
\(213\) | −10.4371 | + | 1.57771i | −0.715141 | + | 0.108103i | ||||
\(214\) | 1.88542 | − | 1.08855i | 0.128885 | − | 0.0744117i | ||||
\(215\) | 1.14689 | + | 1.53845i | 0.0782174 | + | 0.104921i | ||||
\(216\) | 2.85349 | − | 8.18849i | 0.194155 | − | 0.557156i | ||||
\(217\) | 11.9566 | − | 15.4389i | 0.811669 | − | 1.04806i | ||||
\(218\) | 0.493866 | + | 1.84313i | 0.0334488 | + | 0.124833i | ||||
\(219\) | −12.1662 | + | 5.31426i | −0.822116 | + | 0.359104i | ||||
\(220\) | −4.76265 | + | 6.03143i | −0.321098 | + | 0.406639i | ||||
\(221\) | 18.0754 | 1.21588 | ||||||||
\(222\) | −1.06355 | + | 0.848897i | −0.0713808 | + | 0.0569742i | ||||
\(223\) | 24.6039 | − | 6.59260i | 1.64760 | − | 0.441473i | 0.688660 | − | 0.725085i | \(-0.258199\pi\) |
0.958939 | + | 0.283612i | \(0.0915327\pi\) | |||||||
\(224\) | −1.53525 | − | 12.0780i | −0.102578 | − | 0.806992i | ||||
\(225\) | 7.36356 | − | 13.0682i | 0.490904 | − | 0.871214i | ||||
\(226\) | −0.242288 | − | 0.419654i | −0.0161167 | − | 0.0279150i | ||||
\(227\) | −22.2629 | − | 5.96533i | −1.47764 | − | 0.395933i | −0.572098 | − | 0.820185i | \(-0.693870\pi\) |
−0.905544 | + | 0.424252i | \(0.860537\pi\) | |||||||
\(228\) | 15.6071 | − | 12.4572i | 1.03361 | − | 0.824998i | ||||
\(229\) | −1.29181 | + | 2.23747i | −0.0853650 | + | 0.147856i | −0.905547 | − | 0.424247i | \(-0.860539\pi\) |
0.820182 | + | 0.572103i | \(0.193872\pi\) | |||||||
\(230\) | −0.795949 | + | 5.45874i | −0.0524833 | + | 0.359938i | ||||
\(231\) | −0.127721 | − | 8.71053i | −0.00840343 | − | 0.573111i | ||||
\(232\) | 10.3076 | − | 2.76192i | 0.676729 | − | 0.181329i | ||||
\(233\) | 18.8243 | + | 5.04395i | 1.23322 | + | 0.330440i | 0.815832 | − | 0.578289i | \(-0.196279\pi\) |
0.417386 | + | 0.908729i | \(0.362946\pi\) | |||||||
\(234\) | 5.26475 | − | 5.68379i | 0.344167 | − | 0.371561i | ||||
\(235\) | 3.31803 | − | 7.70589i | 0.216445 | − | 0.502677i | ||||
\(236\) | − | 25.1679i | − | 1.63829i | ||||||
\(237\) | 2.99309 | + | 19.8004i | 0.194422 | + | 1.28618i | ||||
\(238\) | 3.29193 | − | 1.34637i | 0.213384 | − | 0.0872721i | ||||
\(239\) | −14.0409 | + | 8.10654i | −0.908233 | + | 0.524369i | −0.879862 | − | 0.475229i | \(-0.842365\pi\) |
−0.0283709 | + | 0.999597i | \(0.509032\pi\) | |||||||
\(240\) | 9.64561 | − | 5.63644i | 0.622622 | − | 0.363831i | ||||
\(241\) | −4.96607 | + | 2.86716i | −0.319893 | + | 0.184690i | −0.651345 | − | 0.758782i | \(-0.725795\pi\) |
0.331452 | + | 0.943472i | \(0.392462\pi\) | |||||||
\(242\) | −3.12669 | + | 0.837793i | −0.200991 | + | 0.0538554i | ||||
\(243\) | −11.4045 | + | 10.6273i | −0.731596 | + | 0.681739i | ||||
\(244\) | 0.219100 | 0.0140265 | ||||||||
\(245\) | 9.24275 | + | 12.6322i | 0.590497 | + | 0.807040i | ||||
\(246\) | 3.52697 | + | 0.395867i | 0.224872 | + | 0.0252396i | ||||
\(247\) | 36.2974 | − | 9.72587i | 2.30955 | − | 0.618842i | ||||
\(248\) | −8.70945 | − | 8.70945i | −0.553051 | − | 0.553051i | ||||
\(249\) | −17.3393 | + | 7.57389i | −1.09883 | + | 0.479976i | ||||
\(250\) | −4.60097 | + | 1.68482i | −0.290991 | + | 0.106558i | ||||
\(251\) | 28.7931i | 1.81740i | 0.417448 | + | 0.908701i | \(0.362924\pi\) | ||||
−0.417448 | + | 0.908701i | \(0.637076\pi\) | |||||||
\(252\) | −5.04052 | + | 13.4357i | −0.317523 | + | 0.846369i | ||||
\(253\) | −7.56699 | + | 7.56699i | −0.475733 | + | 0.475733i | ||||
\(254\) | − | 0.309043i | − | 0.0193911i | ||||||
\(255\) | 8.44425 | + | 8.35629i | 0.528799 | + | 0.523291i | ||||
\(256\) | 2.75058 | 0.171911 | ||||||||
\(257\) | −5.51716 | − | 20.5903i | −0.344151 | − | 1.28439i | −0.893601 | − | 0.448862i | \(-0.851830\pi\) |
0.549450 | − | 0.835526i | \(-0.314837\pi\) | |||||||
\(258\) | −0.237724 | + | 0.606472i | −0.0148000 | + | 0.0377573i | ||||
\(259\) | 3.77581 | − | 2.87058i | 0.234618 | − | 0.178369i | ||||
\(260\) | 23.6596 | − | 2.78107i | 1.46731 | − | 0.172474i | ||||
\(261\) | −18.7062 | − | 4.25273i | −1.15788 | − | 0.263237i | ||||
\(262\) | 0.383775 | + | 1.43227i | 0.0237097 | + | 0.0884859i | ||||
\(263\) | −10.5319 | − | 2.82202i | −0.649425 | − | 0.174013i | −0.0809562 | − | 0.996718i | \(-0.525797\pi\) |
−0.568469 | + | 0.822705i | \(0.692464\pi\) | |||||||
\(264\) | −5.46050 | − | 0.612886i | −0.336071 | − | 0.0377205i | ||||
\(265\) | −9.29576 | − | 12.4694i | −0.571034 | − | 0.765988i | ||||
\(266\) | 5.88612 | − | 4.47496i | 0.360901 | − | 0.274377i | ||||
\(267\) | −2.87178 | − | 3.59793i | −0.175750 | − | 0.220190i | ||||
\(268\) | −7.98696 | + | 7.98696i | −0.487881 | + | 0.487881i | ||||
\(269\) | −10.0771 | + | 17.4541i | −0.614414 | + | 1.06420i | 0.376073 | + | 0.926590i | \(0.377274\pi\) |
−0.990487 | + | 0.137606i | \(0.956059\pi\) | |||||||
\(270\) | 5.08715 | − | 0.221385i | 0.309594 | − | 0.0134731i | ||||
\(271\) | −9.61624 | + | 5.55194i | −0.584145 | + | 0.337256i | −0.762779 | − | 0.646659i | \(-0.776166\pi\) |
0.178634 | + | 0.983916i | \(0.442832\pi\) | |||||||
\(272\) | 2.29002 | + | 8.54647i | 0.138853 | + | 0.518206i | ||||
\(273\) | −18.8127 | + | 19.3726i | −1.13860 | + | 1.17248i | ||||
\(274\) | −6.19549 | + | 3.57697i | −0.374283 | + | 0.216092i | ||||
\(275\) | −9.10923 | − | 2.71417i | −0.549307 | − | 0.163671i | ||||
\(276\) | 16.1541 | − | 7.05618i | 0.972361 | − | 0.424732i | ||||
\(277\) | −1.19313 | + | 4.45282i | −0.0716883 | + | 0.267544i | −0.992462 | − | 0.122553i | \(-0.960892\pi\) |
0.920774 | + | 0.390097i | \(0.127559\pi\) | |||||||
\(278\) | −0.688768 | + | 2.57052i | −0.0413095 | + | 0.154169i | ||||
\(279\) | 6.54458 | + | 21.1528i | 0.391814 | + | 1.26638i | ||||
\(280\) | 8.63932 | − | 4.77865i | 0.516298 | − | 0.285579i | ||||
\(281\) | 4.58245 | − | 7.93703i | 0.273366 | − | 0.473484i | −0.696356 | − | 0.717697i | \(-0.745196\pi\) |
0.969722 | + | 0.244213i | \(0.0785297\pi\) | |||||||
\(282\) | 2.81607 | − | 0.425687i | 0.167695 | − | 0.0253493i | ||||
\(283\) | 2.03956 | + | 2.03956i | 0.121239 | + | 0.121239i | 0.765123 | − | 0.643884i | \(-0.222678\pi\) |
−0.643884 | + | 0.765123i | \(0.722678\pi\) | |||||||
\(284\) | − | 11.0182i | − | 0.653810i | ||||||
\(285\) | 21.4533 | + | 12.2368i | 1.27079 | + | 0.724843i | ||||
\(286\) | −4.25157 | − | 2.45465i | −0.251401 | − | 0.145146i | ||||
\(287\) | −12.2574 | − | 1.66944i | −0.723533 | − | 0.0985440i | ||||
\(288\) | 12.2110 | + | 6.44035i | 0.719540 | + | 0.379501i | ||||
\(289\) | 6.57412 | − | 3.79557i | 0.386713 | − | 0.223269i | ||||
\(290\) | 3.74525 | + | 5.02389i | 0.219928 | + | 0.295013i | ||||
\(291\) | −4.58484 | − | 10.4963i | −0.268768 | − | 0.615305i | ||||
\(292\) | −3.58669 | − | 13.3857i | −0.209895 | − | 0.783339i | ||||
\(293\) | −3.81584 | + | 14.2409i | −0.222924 | + | 0.831964i | 0.760302 | + | 0.649570i | \(0.225051\pi\) |
−0.983226 | + | 0.182393i | \(0.941616\pi\) | |||||||
\(294\) | −1.98322 | + | 4.92947i | −0.115664 | + | 0.287493i | ||||
\(295\) | 28.9210 | − | 11.5114i | 1.68385 | − | 0.670222i | ||||
\(296\) | −1.49586 | − | 2.59091i | −0.0869454 | − | 0.150594i | ||||
\(297\) | 8.16861 | + | 5.55393i | 0.473991 | + | 0.322272i | ||||
\(298\) | −1.11419 | − | 4.15820i | −0.0645431 | − | 0.240878i | ||||
\(299\) | 33.1723 | 1.91840 | ||||||||
\(300\) | 12.3387 | + | 9.63867i | 0.712377 | + | 0.556489i | ||||
\(301\) | 0.878232 | − | 2.09374i | 0.0506205 | − | 0.120681i | ||||
\(302\) | 0.726594 | − | 2.71169i | 0.0418108 | − | 0.156040i | ||||
\(303\) | 8.01622 | − | 6.39834i | 0.460520 | − | 0.367575i | ||||
\(304\) | 9.19725 | + | 15.9301i | 0.527498 | + | 0.913654i | ||||
\(305\) | 0.100213 | + | 0.251773i | 0.00573820 | + | 0.0144165i | ||||
\(306\) | −0.894023 | + | 3.93247i | −0.0511079 | + | 0.224804i | ||||
\(307\) | −11.8607 | + | 11.8607i | −0.676924 | + | 0.676924i | −0.959303 | − | 0.282379i | \(-0.908876\pi\) |
0.282379 | + | 0.959303i | \(0.408876\pi\) | |||||||
\(308\) | 9.00997 | + | 1.22714i | 0.513391 | + | 0.0699230i | ||||
\(309\) | 11.2678 | − | 4.92184i | 0.641005 | − | 0.279994i | ||||
\(310\) | 2.86039 | − | 6.64306i | 0.162459 | − | 0.377300i | ||||
\(311\) | − | 4.65166i | − | 0.263771i | −0.991265 | − | 0.131886i | \(-0.957897\pi\) | ||
0.991265 | − | 0.131886i | \(-0.0421032\pi\) | |||||||
\(312\) | 10.6255 | + | 13.3123i | 0.601552 | + | 0.753661i | ||||
\(313\) | 0.652085 | + | 0.652085i | 0.0368580 | + | 0.0368580i | 0.725296 | − | 0.688438i | \(-0.241703\pi\) |
−0.688438 | + | 0.725296i | \(0.741703\pi\) | |||||||
\(314\) | −7.26974 | −0.410255 | ||||||||
\(315\) | −17.7447 | + | 0.353124i | −0.999802 | + | 0.0198963i | ||||
\(316\) | −20.9028 | −1.17587 | ||||||||
\(317\) | 13.5147 | + | 13.5147i | 0.759062 | + | 0.759062i | 0.976152 | − | 0.217090i | \(-0.0696565\pi\) |
−0.217090 | + | 0.976152i | \(0.569656\pi\) | |||||||
\(318\) | 1.92679 | − | 4.91556i | 0.108049 | − | 0.275651i | ||||
\(319\) | 12.1559i | 0.680601i | ||||||||
\(320\) | 3.10291 | + | 7.79565i | 0.173458 | + | 0.435790i | ||||
\(321\) | 0.959730 | − | 8.55070i | 0.0535669 | − | 0.477253i | ||||
\(322\) | 6.04141 | − | 2.47088i | 0.336674 | − | 0.137697i | ||||
\(323\) | −13.8314 | + | 13.8314i | −0.769601 | + | 0.769601i | ||||
\(324\) | −9.18902 | − | 13.4284i | −0.510501 | − | 0.746023i | ||||
\(325\) | 14.0174 | + | 25.9158i | 0.777544 | + | 1.43755i | ||||
\(326\) | 1.01183 | + | 1.75254i | 0.0560401 | + | 0.0970643i | ||||
\(327\) | 7.02132 | + | 2.75220i | 0.388280 | + | 0.152197i | ||||
\(328\) | −2.01951 | + | 7.53692i | −0.111509 | + | 0.416157i | ||||
\(329\) | −9.84780 | + | 1.25177i | −0.542927 | + | 0.0690125i | ||||
\(330\) | −0.851414 | − | 3.11225i | −0.0468688 | − | 0.171324i | ||||
\(331\) | −16.8036 | −0.923609 | −0.461804 | − | 0.886982i | \(-0.652798\pi\) | ||||
−0.461804 | + | 0.886982i | \(0.652798\pi\) | |||||||
\(332\) | −5.11176 | − | 19.0773i | −0.280544 | − | 1.04701i | ||||
\(333\) | 0.205693 | + | 5.37424i | 0.0112719 | + | 0.294506i | ||||
\(334\) | 1.49959 | + | 2.59737i | 0.0820540 | + | 0.142122i | ||||
\(335\) | −12.8311 | − | 5.52488i | −0.701039 | − | 0.301856i | ||||
\(336\) | −11.5433 | − | 6.44073i | −0.629737 | − | 0.351371i | ||||
\(337\) | −2.87325 | + | 10.7231i | −0.156516 | + | 0.584125i | 0.842455 | + | 0.538767i | \(0.181110\pi\) |
−0.998971 | + | 0.0453581i | \(0.985557\pi\) | |||||||
\(338\) | 2.46415 | + | 9.19634i | 0.134032 | + | 0.500215i | ||||
\(339\) | −1.90320 | − | 0.213615i | −0.103368 | − | 0.0116020i | ||||
\(340\) | −9.94185 | + | 7.41152i | −0.539173 | + | 0.401946i | ||||
\(341\) | 12.1509 | − | 7.01534i | 0.658009 | − | 0.379902i | ||||
\(342\) | 0.320655 | + | 8.37791i | 0.0173390 | + | 0.453025i | ||||
\(343\) | 7.31599 | − | 17.0140i | 0.395026 | − | 0.918670i | ||||
\(344\) | −1.24024 | − | 0.716055i | −0.0668695 | − | 0.0386071i | ||||
\(345\) | 15.4971 | + | 15.3356i | 0.834334 | + | 0.825642i | ||||
\(346\) | 2.36680i | 0.127240i | ||||||||
\(347\) | 15.6123 | + | 15.6123i | 0.838111 | + | 0.838111i | 0.988610 | − | 0.150499i | \(-0.0480880\pi\) |
−0.150499 | + | 0.988610i | \(0.548088\pi\) | |||||||
\(348\) | 7.30762 | − | 18.6429i | 0.391729 | − | 0.999367i | ||||
\(349\) | 1.44945 | − | 2.51052i | 0.0775874 | − | 0.134385i | −0.824621 | − | 0.565685i | \(-0.808612\pi\) |
0.902209 | + | 0.431300i | \(0.141945\pi\) | |||||||
\(350\) | 4.48325 | + | 3.67574i | 0.239640 | + | 0.196477i | ||||
\(351\) | −5.73115 | − | 30.0785i | −0.305906 | − | 1.60547i | ||||
\(352\) | 2.26414 | − | 8.44987i | 0.120679 | − | 0.450380i | ||||
\(353\) | 8.67121 | − | 32.3614i | 0.461522 | − | 1.72242i | −0.206650 | − | 0.978415i | \(-0.566256\pi\) |
0.668171 | − | 0.744007i | \(-0.267077\pi\) | |||||||
\(354\) | 8.50469 | + | 6.27113i | 0.452019 | + | 0.333307i | ||||
\(355\) | 12.6613 | − | 5.03957i | 0.671991 | − | 0.267473i | ||||
\(356\) | 4.16143 | − | 2.40260i | 0.220555 | − | 0.127338i | ||||
\(357\) | 3.43864 | − | 13.6294i | 0.181992 | − | 0.721347i | ||||
\(358\) | −0.650576 | − | 2.42798i | −0.0343840 | − | 0.128323i | ||||
\(359\) | −15.3567 | + | 8.86620i | −0.810496 | + | 0.467940i | −0.847128 | − | 0.531389i | \(-0.821670\pi\) |
0.0366319 | + | 0.999329i | \(0.488337\pi\) | |||||||
\(360\) | −1.19039 | + | 11.1313i | −0.0627393 | + | 0.586671i | ||||
\(361\) | −10.8328 | + | 18.7629i | −0.570147 | + | 0.987523i | ||||
\(362\) | −1.02353 | + | 1.02353i | −0.0537958 | + | 0.0537958i | ||||
\(363\) | −4.66882 | + | 11.9109i | −0.245050 | + | 0.625162i | ||||
\(364\) | −17.0592 | − | 22.4388i | −0.894147 | − | 1.17611i | ||||
\(365\) | 13.7413 | − | 10.2440i | 0.719254 | − | 0.536194i | ||||
\(366\) | −0.0545936 | + | 0.0740379i | −0.00285365 | + | 0.00387002i | ||||
\(367\) | −9.60068 | − | 2.57249i | −0.501151 | − | 0.134283i | −0.000617055 | − | 1.00000i | \(-0.500196\pi\) |
−0.500534 | + | 0.865717i | \(0.666863\pi\) | |||||||
\(368\) | 4.20269 | + | 15.6846i | 0.219080 | + | 0.817619i | ||||
\(369\) | 9.53194 | − | 10.2906i | 0.496213 | − | 0.535708i | ||||
\(370\) | 1.08872 | − | 1.37876i | 0.0565997 | − | 0.0716781i | ||||
\(371\) | −7.11822 | + | 16.9702i | −0.369560 | + | 0.881046i | ||||
\(372\) | −22.8526 | + | 3.45447i | −1.18485 | + | 0.179106i | ||||
\(373\) | −1.69617 | − | 6.33020i | −0.0878245 | − | 0.327766i | 0.908010 | − | 0.418949i | \(-0.137602\pi\) |
−0.995834 | + | 0.0911839i | \(0.970935\pi\) | |||||||
\(374\) | 2.55546 | 0.132140 | ||||||||
\(375\) | −5.43246 | + | 18.5873i | −0.280531 | + | 0.959845i | ||||
\(376\) | 6.26152i | 0.322913i | ||||||||
\(377\) | 26.6447 | − | 26.6447i | 1.37227 | − | 1.37227i | ||||
\(378\) | −3.28421 | − | 5.05108i | −0.168922 | − | 0.259799i | ||||
\(379\) | − | 13.5148i | − | 0.694211i | −0.937826 | − | 0.347106i | \(-0.887165\pi\) | ||
0.937826 | − | 0.347106i | \(-0.112835\pi\) | |||||||
\(380\) | −15.9765 | + | 20.2326i | −0.819575 | + | 1.03791i | ||||
\(381\) | −0.983052 | − | 0.724876i | −0.0503633 | − | 0.0371365i | ||||
\(382\) | −4.63065 | − | 4.63065i | −0.236925 | − | 0.236925i | ||||
\(383\) | 11.7344 | − | 3.14421i | 0.599597 | − | 0.160662i | 0.0537616 | − | 0.998554i | \(-0.482879\pi\) |
0.545836 | + | 0.837892i | \(0.316212\pi\) | |||||||
\(384\) | −11.1510 | + | 15.1226i | −0.569046 | + | 0.771721i | ||||
\(385\) | 2.71089 | + | 10.9148i | 0.138160 | + | 0.556272i | ||||
\(386\) | 1.13019 | 0.0575253 | ||||||||
\(387\) | 1.37157 | + | 2.17870i | 0.0697207 | + | 0.110750i | ||||
\(388\) | 11.5484 | − | 3.09440i | 0.586283 | − | 0.157094i | ||||
\(389\) | 15.8344 | − | 9.14198i | 0.802834 | − | 0.463517i | −0.0416270 | − | 0.999133i | \(-0.513254\pi\) |
0.844461 | + | 0.535617i | \(0.179921\pi\) | |||||||
\(390\) | −4.95554 | + | 8.68798i | −0.250933 | + | 0.439933i | ||||
\(391\) | −14.9539 | + | 8.63366i | −0.756253 | + | 0.436623i | ||||
\(392\) | −10.0641 | − | 5.93099i | −0.508314 | − | 0.299560i | ||||
\(393\) | 5.45615 | + | 2.13869i | 0.275226 | + | 0.107883i | ||||
\(394\) | 7.57479i | 0.381613i | ||||||||
\(395\) | −9.56063 | − | 24.0199i | −0.481048 | − | 1.20857i | ||||
\(396\) | −7.00657 | + | 7.56425i | −0.352093 | + | 0.380118i | ||||
\(397\) | −16.9852 | − | 4.55118i | −0.852464 | − | 0.228417i | −0.193974 | − | 0.981007i | \(-0.562138\pi\) |
−0.658490 | + | 0.752590i | \(0.728804\pi\) | |||||||
\(398\) | 9.51959 | − | 2.55077i | 0.477174 | − | 0.127858i | ||||
\(399\) | −0.428445 | − | 29.2197i | −0.0214491 | − | 1.46282i | ||||
\(400\) | −10.4777 | + | 9.91109i | −0.523886 | + | 0.495555i | ||||
\(401\) | 13.7455 | − | 23.8079i | 0.686417 | − | 1.18891i | −0.286572 | − | 0.958059i | \(-0.592516\pi\) |
0.972989 | − | 0.230851i | \(-0.0741509\pi\) | |||||||
\(402\) | −0.708814 | − | 4.68906i | −0.0353524 | − | 0.233869i | ||||
\(403\) | −42.0107 | − | 11.2567i | −2.09270 | − | 0.560737i | ||||
\(404\) | 5.35301 | + | 9.27169i | 0.266322 | + | 0.461284i | ||||
\(405\) | 11.2280 | − | 16.7013i | 0.557922 | − | 0.829893i | ||||
\(406\) | 2.86792 | − | 6.83724i | 0.142332 | − | 0.339327i | ||||
\(407\) | 3.29184 | − | 0.882046i | 0.163170 | − | 0.0437214i | ||||
\(408\) | −8.25471 | − | 3.23566i | −0.408669 | − | 0.160189i | ||||
\(409\) | −22.4854 | −1.11183 | −0.555915 | − | 0.831239i | \(-0.687632\pi\) | ||||
−0.555915 | + | 0.831239i | \(0.687632\pi\) | |||||||
\(410\) | −4.55057 | + | 0.534895i | −0.224736 | + | 0.0264166i | ||||
\(411\) | −3.15366 | + | 28.0975i | −0.155559 | + | 1.38595i | ||||
\(412\) | 3.32184 | + | 12.3973i | 0.163655 | + | 0.610770i | ||||
\(413\) | −29.1195 | − | 22.5515i | −1.43288 | − | 1.10969i | ||||
\(414\) | −1.64073 | + | 7.21695i | −0.0806375 | + | 0.354694i | ||||
\(415\) | 19.5842 | − | 14.5997i | 0.961349 | − | 0.716673i | ||||
\(416\) | −23.4841 | + | 13.5586i | −1.15140 | + | 0.664763i | ||||
\(417\) | 6.56116 | + | 8.22022i | 0.321301 | + | 0.402546i | ||||
\(418\) | 5.13166 | − | 1.37502i | 0.250997 | − | 0.0672546i | ||||
\(419\) | 4.02921 | + | 6.97880i | 0.196840 | + | 0.340937i | 0.947502 | − | 0.319749i | \(-0.103599\pi\) |
−0.750662 | + | 0.660686i | \(0.770265\pi\) | |||||||
\(420\) | 2.40397 | − | 18.3692i | 0.117302 | − | 0.896327i | ||||
\(421\) | 3.83545 | − | 6.64319i | 0.186928 | − | 0.323769i | −0.757296 | − | 0.653072i | \(-0.773480\pi\) |
0.944225 | + | 0.329302i | \(0.106813\pi\) | |||||||
\(422\) | 2.19882 | − | 8.20611i | 0.107037 | − | 0.399467i | ||||
\(423\) | 5.25116 | − | 9.95628i | 0.255320 | − | 0.484091i | ||||
\(424\) | 10.0524 | + | 5.80375i | 0.488187 | + | 0.281855i | ||||
\(425\) | −13.0640 | − | 8.03449i | −0.633698 | − | 0.389730i | ||||
\(426\) | 3.72325 | + | 2.74543i | 0.180392 | + | 0.133016i | ||||
\(427\) | 0.196323 | − | 0.253501i | 0.00950073 | − | 0.0122678i | ||||
\(428\) | 8.67535 | + | 2.32455i | 0.419339 | + | 0.112362i | ||||
\(429\) | −17.7804 | + | 7.76657i | −0.858446 | + | 0.374973i | ||||
\(430\) | 0.121338 | − | 0.832153i | 0.00585143 | − | 0.0401300i | ||||
\(431\) | 8.64939 | − | 14.9812i | 0.416627 | − | 0.721618i | −0.578971 | − | 0.815348i | \(-0.696546\pi\) |
0.995598 | + | 0.0937297i | \(0.0298789\pi\) | |||||||
\(432\) | 13.4958 | − | 6.52056i | 0.649315 | − | 0.313720i | ||||
\(433\) | 15.7136 | + | 15.7136i | 0.755148 | + | 0.755148i | 0.975435 | − | 0.220287i | \(-0.0706994\pi\) |
−0.220287 | + | 0.975435i | \(0.570699\pi\) | |||||||
\(434\) | −8.48954 | + | 1.07912i | −0.407511 | + | 0.0517995i | ||||
\(435\) | 24.7654 | − | 0.129668i | 1.18741 | − | 0.00621709i | ||||
\(436\) | −3.93594 | + | 6.81725i | −0.188497 | + | 0.326487i | ||||
\(437\) | −25.3837 | + | 25.3837i | −1.21427 | + | 1.21427i | ||||
\(438\) | 5.41697 | + | 2.12333i | 0.258833 | + | 0.101457i | ||||
\(439\) | −3.04310 | −0.145239 | −0.0726195 | − | 0.997360i | \(-0.523136\pi\) | ||||
−0.0726195 | + | 0.997360i | \(0.523136\pi\) | |||||||
\(440\) | 7.04524 | − | 0.828131i | 0.335869 | − | 0.0394796i | ||||
\(441\) | 11.0287 | + | 17.8709i | 0.525176 | + | 0.850993i | ||||
\(442\) | −5.60133 | − | 5.60133i | −0.266428 | − | 0.266428i | ||||
\(443\) | 3.89882 | − | 3.89882i | 0.185239 | − | 0.185239i | −0.608395 | − | 0.793634i | \(-0.708187\pi\) |
0.793634 | + | 0.608395i | \(0.208187\pi\) | |||||||
\(444\) | −5.57878 | − | 0.626162i | −0.264757 | − | 0.0297163i | ||||
\(445\) | 4.66426 | + | 3.68308i | 0.221107 | + | 0.174595i | ||||
\(446\) | −9.66740 | − | 5.58148i | −0.457765 | − | 0.264291i | ||||
\(447\) | −15.8404 | − | 6.20910i | −0.749227 | − | 0.293680i | ||||
\(448\) | 6.07875 | − | 7.84915i | 0.287194 | − | 0.370838i | ||||
\(449\) | 4.24623i | 0.200392i | 0.994968 | + | 0.100196i | \(0.0319470\pi\) | ||||
−0.994968 | + | 0.100196i | \(0.968053\pi\) | |||||||
\(450\) | −6.33155 | + | 1.76780i | −0.298472 | + | 0.0833347i | ||||
\(451\) | −7.69757 | − | 4.44419i | −0.362464 | − | 0.209269i | ||||
\(452\) | 0.517395 | − | 1.93095i | 0.0243362 | − | 0.0908241i | ||||
\(453\) | −6.92149 | − | 8.67167i | −0.325200 | − | 0.407430i | ||||
\(454\) | 5.05042 | + | 8.74758i | 0.237028 | + | 0.410544i | ||||
\(455\) | 17.9823 | − | 29.8664i | 0.843023 | − | 1.40016i | ||||
\(456\) | −18.3174 | − | 2.05595i | −0.857792 | − | 0.0962785i | ||||
\(457\) | −10.1173 | − | 10.1173i | −0.473268 | − | 0.473268i | 0.429703 | − | 0.902970i | \(-0.358618\pi\) |
−0.902970 | + | 0.429703i | \(0.858618\pi\) | |||||||
\(458\) | 1.09368 | − | 0.293051i | 0.0511043 | − | 0.0136934i | ||||
\(459\) | 10.4120 | + | 12.0677i | 0.485993 | + | 0.563270i | ||||
\(460\) | −18.2455 | + | 13.6018i | −0.850700 | + | 0.634186i | ||||
\(461\) | −31.4307 | − | 18.1465i | −1.46387 | − | 0.845168i | −0.464687 | − | 0.885475i | \(-0.653833\pi\) |
−0.999187 | + | 0.0403066i | \(0.987167\pi\) | |||||||
\(462\) | −2.65970 | + | 2.73886i | −0.123741 | + | 0.127423i | ||||
\(463\) | 27.9510 | + | 7.48946i | 1.29899 | + | 0.348065i | 0.841070 | − | 0.540926i | \(-0.181926\pi\) |
0.457925 | + | 0.888991i | \(0.348593\pi\) | |||||||
\(464\) | 15.9739 | + | 9.22254i | 0.741570 | + | 0.428146i | ||||
\(465\) | −14.4221 | − | 24.6804i | −0.668807 | − | 1.14453i | ||||
\(466\) | −4.27034 | − | 7.39645i | −0.197820 | − | 0.342634i | ||||
\(467\) | 9.12508 | + | 2.44506i | 0.422258 | + | 0.113144i | 0.463690 | − | 0.885998i | \(-0.346525\pi\) |
−0.0414315 | + | 0.999141i | \(0.513192\pi\) | |||||||
\(468\) | 31.9379 | − | 1.22239i | 1.47633 | − | 0.0565048i | ||||
\(469\) | 2.08434 | + | 16.3976i | 0.0962457 | + | 0.757172i | ||||
\(470\) | −3.41617 | + | 1.35974i | −0.157576 | + | 0.0627202i | ||||
\(471\) | −17.0516 | + | 23.1247i | −0.785694 | + | 1.06553i | ||||
\(472\) | −16.4269 | + | 16.4269i | −0.756112 | + | 0.756112i | ||||
\(473\) | 1.15354 | − | 1.15354i | 0.0530400 | − | 0.0530400i | ||||
\(474\) | 5.20838 | − | 7.06342i | 0.239229 | − | 0.324434i | ||||
\(475\) | −30.5572 | − | 9.10478i | −1.40206 | − | 0.417756i | ||||
\(476\) | 13.5303 | + | 5.67537i | 0.620162 | + | 0.260130i | ||||
\(477\) | −11.1168 | − | 17.6587i | −0.509003 | − | 0.808538i | ||||
\(478\) | 6.86323 | + | 1.83900i | 0.313917 | + | 0.0841137i | ||||
\(479\) | −1.69178 | − | 2.93025i | −0.0772996 | − | 0.133887i | 0.824784 | − | 0.565447i | \(-0.191296\pi\) |
−0.902084 | + | 0.431561i | \(0.857963\pi\) | |||||||
\(480\) | −17.2392 | − | 4.52262i | −0.786858 | − | 0.206429i | ||||
\(481\) | −9.14877 | − | 5.28205i | −0.417148 | − | 0.240841i | ||||
\(482\) | 2.42742 | + | 0.650426i | 0.110566 | + | 0.0296261i | ||||
\(483\) | 6.31067 | − | 25.0130i | 0.287145 | − | 1.13813i | ||||
\(484\) | −11.5647 | − | 6.67691i | −0.525670 | − | 0.303496i | ||||
\(485\) | 8.83794 | + | 11.8552i | 0.401310 | + | 0.538319i | ||||
\(486\) | 6.82735 | + | 0.240844i | 0.309695 | + | 0.0109249i | ||||
\(487\) | 3.65423 | − | 0.979149i | 0.165589 | − | 0.0443695i | −0.175072 | − | 0.984556i | \(-0.556016\pi\) |
0.340661 | + | 0.940186i | \(0.389349\pi\) | |||||||
\(488\) | −0.143005 | − | 0.143005i | −0.00647355 | − | 0.00647355i | ||||
\(489\) | 7.94806 | + | 0.892089i | 0.359424 | + | 0.0403417i | ||||
\(490\) | 1.05034 | − | 6.77876i | 0.0474494 | − | 0.306233i | ||||
\(491\) | −13.0440 | − | 22.5928i | −0.588666 | − | 1.01960i | −0.994407 | − | 0.105611i | \(-0.966320\pi\) |
0.405742 | − | 0.913988i | \(-0.367013\pi\) | |||||||
\(492\) | 9.13373 | + | 11.4433i | 0.411780 | + | 0.515903i | ||||
\(493\) | −5.07658 | + | 18.9460i | −0.228638 | + | 0.853287i | ||||
\(494\) | −14.2620 | − | 8.23419i | −0.641680 | − | 0.370474i | ||||
\(495\) | −11.8970 | − | 4.59163i | −0.534728 | − | 0.206378i | ||||
\(496\) | − | 21.2898i | − | 0.955940i | ||||||
\(497\) | −12.7482 | − | 9.87277i | −0.571833 | − | 0.442854i | ||||
\(498\) | 7.72028 | + | 3.02618i | 0.345954 | + | 0.135606i | ||||
\(499\) | 0.136829 | + | 0.0789983i | 0.00612531 | + | 0.00353645i | 0.503060 | − | 0.864252i | \(-0.332208\pi\) |
−0.496934 | + | 0.867788i | \(0.665541\pi\) | |||||||
\(500\) | −18.3362 | − | 8.50666i | −0.820021 | − | 0.380429i | ||||
\(501\) | 11.7795 | + | 1.32213i | 0.526269 | + | 0.0590683i | ||||
\(502\) | 8.92260 | − | 8.92260i | 0.398235 | − | 0.398235i | ||||
\(503\) | −13.8631 | − | 13.8631i | −0.618123 | − | 0.618123i | 0.326926 | − | 0.945050i | \(-0.393987\pi\) |
−0.945050 | + | 0.326926i | \(0.893987\pi\) | |||||||
\(504\) | 12.0593 | − | 5.47949i | 0.537165 | − | 0.244076i | ||||
\(505\) | −8.20592 | + | 10.3920i | −0.365159 | + | 0.462438i | ||||
\(506\) | 4.68983 | 0.208488 | ||||||||
\(507\) | 35.0330 | + | 13.7321i | 1.55587 | + | 0.609866i | ||||
\(508\) | 0.901507 | − | 0.901507i | 0.0399979 | − | 0.0399979i | ||||
\(509\) | −18.6681 | + | 32.3341i | −0.827448 | + | 1.43318i | 0.0725852 | + | 0.997362i | \(0.476875\pi\) |
−0.900034 | + | 0.435820i | \(0.856458\pi\) | |||||||
\(510\) | −0.0272592 | − | 5.20627i | −0.00120706 | − | 0.230538i | ||||
\(511\) | −18.7012 | − | 7.84432i | −0.827293 | − | 0.347012i | ||||
\(512\) | −16.1937 | − | 16.1937i | −0.715669 | − | 0.715669i | ||||
\(513\) | 27.4019 | + | 18.6308i | 1.20982 | + | 0.822571i | ||||
\(514\) | −4.67098 | + | 8.09037i | −0.206028 | + | 0.356851i | ||||
\(515\) | −12.7266 | + | 9.48755i | −0.560803 | + | 0.418071i | ||||
\(516\) | −2.46260 | + | 1.07567i | −0.108410 | + | 0.0473539i | ||||
\(517\) | −6.88963 | − | 1.84607i | −0.303006 | − | 0.0811901i | ||||
\(518\) | −2.05963 | − | 0.280519i | −0.0904951 | − | 0.0123253i | ||||
\(519\) | 7.52869 | + | 5.55145i | 0.330473 | + | 0.243682i | ||||
\(520\) | −17.2577 | − | 13.6273i | −0.756800 | − | 0.597598i | ||||
\(521\) | −11.8997 | − | 6.87032i | −0.521337 | − | 0.300994i | 0.216145 | − | 0.976361i | \(-0.430652\pi\) |
−0.737481 | + | 0.675367i | \(0.763985\pi\) | |||||||
\(522\) | 4.47894 | + | 7.11467i | 0.196038 | + | 0.311401i | ||||
\(523\) | −6.45051 | + | 24.0736i | −0.282061 | + | 1.05267i | 0.668899 | + | 0.743353i | \(0.266766\pi\) |
−0.950960 | + | 0.309313i | \(0.899901\pi\) | |||||||
\(524\) | −3.05855 | + | 5.29757i | −0.133613 | + | 0.231425i | ||||
\(525\) | 22.2080 | − | 5.63937i | 0.969239 | − | 0.246122i | ||||
\(526\) | 2.38920 | + | 4.13821i | 0.104174 | + | 0.180435i | ||||
\(527\) | 21.8680 | − | 5.85952i | 0.952585 | − | 0.255244i | ||||
\(528\) | −5.92487 | − | 7.42303i | −0.257847 | − | 0.323046i | ||||
\(529\) | −7.52520 | + | 4.34467i | −0.327182 | + | 0.188899i | ||||
\(530\) | −0.983463 | + | 6.74474i | −0.0427189 | + | 0.292973i | ||||
\(531\) | 39.8964 | − | 12.3438i | 1.73135 | − | 0.535674i | ||||
\(532\) | 30.2242 | + | 4.11649i | 1.31039 | + | 0.178473i | ||||
\(533\) | 7.13110 | + | 26.6136i | 0.308882 | + | 1.15276i | ||||
\(534\) | −0.225028 | + | 2.00488i | −0.00973790 | + | 0.0867597i | ||||
\(535\) | 1.29679 | + | 11.0323i | 0.0560649 | + | 0.476966i | ||||
\(536\) | 10.4261 | 0.450339 | ||||||||
\(537\) | −9.24927 | − | 3.62551i | −0.399135 | − | 0.156452i | ||||
\(538\) | 8.53159 | − | 2.28603i | 0.367823 | − | 0.0985579i | ||||
\(539\) | 9.49312 | − | 9.32504i | 0.408898 | − | 0.401658i | ||||
\(540\) | 15.4855 | + | 14.1939i | 0.666390 | + | 0.610808i | ||||
\(541\) | 12.0800 | + | 20.9231i | 0.519358 | + | 0.899555i | 0.999747 | + | 0.0224989i | \(0.00716224\pi\) |
−0.480389 | + | 0.877056i | \(0.659504\pi\) | |||||||
\(542\) | 4.70043 | + | 1.25948i | 0.201901 | + | 0.0540991i | ||||
\(543\) | 0.855065 | + | 5.65657i | 0.0366944 | + | 0.242747i | ||||
\(544\) | 7.05770 | − | 12.2243i | 0.302596 | − | 0.524112i | ||||
\(545\) | −9.63410 | − | 1.40477i | −0.412679 | − | 0.0601736i | ||||
\(546\) | 11.8332 | − | 0.173508i | 0.506412 | − | 0.00742545i | ||||
\(547\) | 12.9434 | − | 3.46817i | 0.553419 | − | 0.148288i | 0.0287378 | − | 0.999587i | \(-0.490851\pi\) |
0.524681 | + | 0.851299i | \(0.324185\pi\) | |||||||
\(548\) | −28.5072 | − | 7.63847i | −1.21777 | − | 0.326299i | ||||
\(549\) | 0.107459 | + | 0.347319i | 0.00458625 | + | 0.0148232i | ||||
\(550\) | 1.98175 | + | 3.66392i | 0.0845019 | + | 0.156230i | ||||
\(551\) | 40.7774i | 1.73718i | ||||||||
\(552\) | −15.1492 | − | 5.93815i | −0.644793 | − | 0.252744i | ||||
\(553\) | −18.7297 | + | 24.1847i | −0.796470 | + | 1.02844i | ||||
\(554\) | 1.74961 | − | 1.01014i | 0.0743338 | − | 0.0429166i | ||||
\(555\) | −1.83212 | − | 6.69711i | −0.0777691 | − | 0.284276i | ||||
\(556\) | −9.50763 | + | 5.48923i | −0.403213 | + | 0.232795i | ||||
\(557\) | 2.96795 | − | 0.795260i | 0.125756 | − | 0.0336962i | −0.195392 | − | 0.980725i | \(-0.562598\pi\) |
0.321148 | + | 0.947029i | \(0.395931\pi\) | |||||||
\(558\) | 4.52689 | − | 8.58306i | 0.191639 | − | 0.363350i | ||||
\(559\) | −5.05693 | −0.213885 | ||||||||
\(560\) | 16.3997 | + | 4.71861i | 0.693016 | + | 0.199398i | ||||
\(561\) | 5.99396 | − | 8.12880i | 0.253065 | − | 0.343198i | ||||
\(562\) | −3.87963 | + | 1.03954i | −0.163652 | + | 0.0438505i | ||||
\(563\) | 2.78706 | + | 2.78706i | 0.117461 | + | 0.117461i | 0.763394 | − | 0.645933i | \(-0.223532\pi\) |
−0.645933 | + | 0.763394i | \(0.723532\pi\) | |||||||
\(564\) | 9.45651 | + | 6.97298i | 0.398191 | + | 0.293615i | ||||
\(565\) | 2.45554 | − | 0.288636i | 0.103306 | − | 0.0121430i | ||||
\(566\) | − | 1.26407i | − | 0.0531328i | ||||||
\(567\) | −23.7705 | − | 1.40064i | −0.998269 | − | 0.0588212i | ||||
\(568\) | −7.19152 | + | 7.19152i | −0.301750 | + | 0.301750i | ||||
\(569\) | − | 0.185572i | − | 0.00777957i | −0.999992 | − | 0.00388979i | \(-0.998762\pi\) | ||
0.999992 | − | 0.00388979i | \(-0.00123816\pi\) | |||||||
\(570\) | −2.85609 | − | 10.4401i | −0.119629 | − | 0.437289i | ||||
\(571\) | 14.4882 | 0.606312 | 0.303156 | − | 0.952941i | \(-0.401960\pi\) | ||||
0.303156 | + | 0.952941i | \(0.401960\pi\) | |||||||
\(572\) | −5.24180 | − | 19.5627i | −0.219171 | − | 0.817956i | ||||
\(573\) | −25.5913 | + | 3.86847i | −1.06909 | + | 0.161608i | ||||
\(574\) | 3.28108 | + | 4.31576i | 0.136950 | + | 0.180136i | ||||
\(575\) | −23.9753 | − | 14.7450i | −0.999841 | − | 0.614911i | ||||
\(576\) | 3.32726 | + | 10.7541i | 0.138636 | + | 0.448086i | ||||
\(577\) | 2.60158 | + | 9.70922i | 0.108305 | + | 0.404200i | 0.998699 | − | 0.0509904i | \(-0.0162378\pi\) |
−0.890394 | + | 0.455191i | \(0.849571\pi\) | |||||||
\(578\) | −3.21344 | − | 0.861038i | −0.133661 | − | 0.0358144i | ||||
\(579\) | 2.65092 | − | 3.59509i | 0.110169 | − | 0.149407i | ||||
\(580\) | −3.72992 | + | 25.5804i | −0.154877 | + | 1.06217i | ||||
\(581\) | −26.6530 | − | 11.1797i | −1.10575 | − | 0.463814i | ||||
\(582\) | −1.83189 | + | 4.67346i | −0.0759344 | + | 0.193721i | ||||
\(583\) | −9.34967 | + | 9.34967i | −0.387224 | + | 0.387224i | ||||
\(584\) | −6.39577 | + | 11.0778i | −0.264659 | + | 0.458402i | ||||
\(585\) | 16.0126 | + | 36.1415i | 0.662040 | + | 1.49427i | ||||
\(586\) | 5.59556 | − | 3.23060i | 0.231151 | − | 0.133455i | ||||
\(587\) | 4.84502 | + | 18.0818i | 0.199975 | + | 0.746318i | 0.990923 | + | 0.134434i | \(0.0429215\pi\) |
−0.790947 | + | 0.611884i | \(0.790412\pi\) | |||||||
\(588\) | −20.1650 | + | 8.59451i | −0.831589 | + | 0.354431i | ||||
\(589\) | 40.7606 | − | 23.5332i | 1.67951 | − | 0.969667i | ||||
\(590\) | −12.5295 | − | 5.39501i | −0.515832 | − | 0.222109i | ||||
\(591\) | 24.0951 | + | 17.7671i | 0.991139 | + | 0.730840i | ||||
\(592\) | 1.33839 | − | 4.99495i | 0.0550077 | − | 0.205291i | ||||
\(593\) | 11.6668 | − | 43.5412i | 0.479099 | − | 1.78802i | −0.126179 | − | 0.992008i | \(-0.540271\pi\) |
0.605278 | − | 0.796014i | \(-0.293062\pi\) | |||||||
\(594\) | −0.810257 | − | 4.25244i | −0.0332453 | − | 0.174480i | ||||
\(595\) | −0.333115 | + | 18.1438i | −0.0136564 | + | 0.743825i | ||||
\(596\) | 8.87967 | − | 15.3800i | 0.363725 | − | 0.629991i | ||||
\(597\) | 14.2148 | − | 36.2643i | 0.581773 | − | 1.48420i | ||||
\(598\) | −10.2797 | − | 10.2797i | −0.420367 | − | 0.420367i | ||||
\(599\) | − | 11.2119i | − | 0.458106i | −0.973414 | − | 0.229053i | \(-0.926437\pi\) | ||
0.973414 | − | 0.229053i | \(-0.0735630\pi\) | |||||||
\(600\) | −1.76232 | − | 14.3445i | −0.0719462 | − | 0.585613i | ||||
\(601\) | 17.5240 | + | 10.1175i | 0.714818 | + | 0.412701i | 0.812843 | − | 0.582483i | \(-0.197919\pi\) |
−0.0980242 | + | 0.995184i | \(0.531252\pi\) | |||||||
\(602\) | −0.920978 | + | 0.376672i | −0.0375363 | + | 0.0153520i | ||||
\(603\) | −16.5783 | − | 8.74374i | −0.675119 | − | 0.356072i | ||||
\(604\) | 10.0298 | − | 5.79070i | 0.408106 | − | 0.235620i | ||||
\(605\) | 2.38304 | − | 16.3432i | 0.0968843 | − | 0.664447i | ||||
\(606\) | −4.46689 | − | 0.501363i | −0.181455 | − | 0.0203665i | ||||
\(607\) | −0.813019 | − | 3.03423i | −0.0329994 | − | 0.123156i | 0.947461 | − | 0.319870i | \(-0.103639\pi\) |
−0.980461 | + | 0.196715i | \(0.936973\pi\) | |||||||
\(608\) | 7.59512 | − | 28.3454i | 0.308023 | − | 1.14956i | ||||
\(609\) | −15.0221 | − | 25.1598i | −0.608727 | − | 1.01953i | ||||
\(610\) | 0.0469664 | − | 0.109076i | 0.00190162 | − | 0.00441636i | ||||
\(611\) | 11.0550 | + | 19.1479i | 0.447238 | + | 0.774639i | ||||
\(612\) | −14.0793 | + | 8.86343i | −0.569123 | + | 0.358283i | ||||
\(613\) | 3.46923 | + | 12.9473i | 0.140121 | + | 0.522938i | 0.999924 | + | 0.0123126i | \(0.00391932\pi\) |
−0.859803 | + | 0.510625i | \(0.829414\pi\) | |||||||
\(614\) | 7.35094 | 0.296660 | ||||||||
\(615\) | −8.97211 | + | 15.7298i | −0.361790 | + | 0.634286i | ||||
\(616\) | −5.07981 | − | 6.68171i | −0.204671 | − | 0.269214i | ||||
\(617\) | −4.94431 | + | 18.4524i | −0.199050 | + | 0.742866i | 0.792131 | + | 0.610352i | \(0.208972\pi\) |
−0.991181 | + | 0.132515i | \(0.957695\pi\) | |||||||
\(618\) | −5.01697 | − | 1.96654i | −0.201812 | − | 0.0791059i | ||||
\(619\) | −11.3140 | − | 19.5965i | −0.454749 | − | 0.787649i | 0.543924 | − | 0.839134i | \(-0.316938\pi\) |
−0.998674 | + | 0.0514853i | \(0.983604\pi\) | |||||||
\(620\) | 27.7224 | − | 11.0344i | 1.11336 | − | 0.443151i | ||||
\(621\) | 19.1084 | + | 22.1468i | 0.766793 | + | 0.888721i | ||||
\(622\) | −1.44149 | + | 1.44149i | −0.0577984 | + | 0.0577984i | ||||
\(623\) | 0.948981 | − | 6.96764i | 0.0380201 | − | 0.279152i | ||||
\(624\) | −3.28384 | + | 29.2574i | −0.131459 | + | 1.17123i | ||||
\(625\) | 1.38847 | − | 24.9614i | 0.0555386 | − | 0.998457i | ||||
\(626\) | − | 0.404146i | − | 0.0161529i | ||||||
\(627\) | 7.66268 | − | 19.5488i | 0.306018 | − | 0.780702i | ||||
\(628\) | −21.2065 | − | 21.2065i | −0.846231 | − | 0.846231i | ||||
\(629\) | 5.49898 | 0.219259 | ||||||||
\(630\) | 5.60829 | + | 5.38944i | 0.223440 | + | 0.214720i | ||||
\(631\) | 33.1087 | 1.31804 | 0.659019 | − | 0.752126i | \(-0.270972\pi\) | ||||
0.659019 | + | 0.752126i | \(0.270972\pi\) | |||||||
\(632\) | 13.6431 | + | 13.6431i | 0.542694 | + | 0.542694i | ||||
\(633\) | −20.9458 | − | 26.2422i | −0.832522 | − | 1.04303i | ||||
\(634\) | − | 8.37607i | − | 0.332656i | ||||||
\(635\) | 1.44828 | + | 0.623606i | 0.0574732 | + | 0.0247470i | ||||
\(636\) | 19.9598 | − | 8.71852i | 0.791456 | − | 0.345712i | ||||
\(637\) | −41.2477 | − | 0.368418i | −1.63429 | − | 0.0145972i | ||||
\(638\) | 3.76697 | − | 3.76697i | 0.149136 | − | 0.149136i | ||||
\(639\) | 17.4662 | − | 5.40396i | 0.690950 | − | 0.213777i | ||||
\(640\) | 9.59311 | − | 22.2793i | 0.379201 | − | 0.880666i | ||||
\(641\) | −15.4264 | − | 26.7192i | −0.609305 | − | 1.05535i | −0.991355 | − | 0.131205i | \(-0.958115\pi\) |
0.382051 | − | 0.924141i | \(-0.375218\pi\) | |||||||
\(642\) | −2.94716 | + | 2.35235i | −0.116315 | + | 0.0928397i | ||||
\(643\) | 9.66555 | − | 36.0723i | 0.381172 | − | 1.42255i | −0.462941 | − | 0.886389i | \(-0.653206\pi\) |
0.844113 | − | 0.536165i | \(-0.180127\pi\) | |||||||
\(644\) | 24.8311 | + | 10.4155i | 0.978484 | + | 0.410430i | ||||
\(645\) | −2.36244 | − | 2.33783i | −0.0930209 | − | 0.0920519i | ||||
\(646\) | 8.57237 | 0.337275 | ||||||||
\(647\) | 9.74503 | + | 36.3690i | 0.383117 | + | 1.42981i | 0.841114 | + | 0.540858i | \(0.181900\pi\) |
−0.457997 | + | 0.888954i | \(0.651433\pi\) | |||||||
\(648\) | −2.76703 | + | 14.7623i | −0.108699 | + | 0.579917i | ||||
\(649\) | −13.2317 | − | 22.9179i | −0.519388 | − | 0.899607i | ||||
\(650\) | 3.68718 | − | 12.3748i | 0.144623 | − | 0.485379i | ||||
\(651\) | −16.4800 | + | 29.5360i | −0.645903 | + | 1.15761i | ||||
\(652\) | −2.16072 | + | 8.06393i | −0.0846204 | + | 0.315808i | ||||
\(653\) | 6.62386 | + | 24.7206i | 0.259212 | + | 0.967391i | 0.965699 | + | 0.259665i | \(0.0836121\pi\) |
−0.706487 | + | 0.707726i | \(0.749721\pi\) | |||||||
\(654\) | −1.32295 | − | 3.02869i | −0.0517313 | − | 0.118431i | ||||
\(655\) | −7.48650 | − | 1.09162i | −0.292522 | − | 0.0426531i | ||||
\(656\) | −11.6801 | + | 6.74350i | −0.456031 | + | 0.263290i | ||||
\(657\) | 19.4600 | − | 12.2508i | 0.759208 | − | 0.477948i | ||||
\(658\) | 3.43962 | + | 2.66380i | 0.134090 | + | 0.103846i | ||||
\(659\) | −26.1551 | − | 15.1006i | −1.01886 | − | 0.588237i | −0.105084 | − | 0.994463i | \(-0.533511\pi\) |
−0.913773 | + | 0.406226i | \(0.866845\pi\) | |||||||
\(660\) | 6.59506 | − | 11.5624i | 0.256712 | − | 0.450064i | ||||
\(661\) | − | 36.2129i | − | 1.40852i | −0.709943 | − | 0.704259i | \(-0.751279\pi\) | ||
0.709943 | − | 0.704259i | \(-0.248721\pi\) | |||||||
\(662\) | 5.20722 | + | 5.20722i | 0.202384 | + | 0.202384i | ||||
\(663\) | −30.9558 | + | 4.67937i | −1.20222 | + | 0.181732i | ||||
\(664\) | −9.11526 | + | 15.7881i | −0.353741 | + | 0.612697i | ||||
\(665\) | 9.09378 | + | 36.6142i | 0.352642 | + | 1.41984i | ||||
\(666\) | 1.60167 | − | 1.72915i | 0.0620633 | − | 0.0670032i | ||||
\(667\) | −9.31664 | + | 34.7702i | −0.360742 | + | 1.34631i | ||||
\(668\) | −3.20232 | + | 11.9512i | −0.123901 | + | 0.462406i | ||||
\(669\) | −40.4298 | + | 17.6599i | −1.56311 | + | 0.682772i | ||||
\(670\) | 2.26411 | + | 5.68829i | 0.0874703 | + | 0.219758i | ||||
\(671\) | 0.199513 | − | 0.115189i | 0.00770211 | − | 0.00444681i | ||||
\(672\) | 5.75602 | + | 20.2872i | 0.222043 | + | 0.782595i | ||||
\(673\) | 6.74160 | + | 25.1600i | 0.259870 | + | 0.969847i | 0.965316 | + | 0.261084i | \(0.0840799\pi\) |
−0.705446 | + | 0.708763i | \(0.749253\pi\) | |||||||
\(674\) | 4.21334 | − | 2.43257i | 0.162292 | − | 0.0936992i | ||||
\(675\) | −9.22768 | + | 24.2868i | −0.355174 | + | 0.934800i | ||||
\(676\) | −19.6384 | + | 34.0147i | −0.755324 | + | 1.30826i | ||||
\(677\) | 25.0268 | − | 25.0268i | 0.961859 | − | 0.961859i | −0.0374402 | − | 0.999299i | \(-0.511920\pi\) |
0.999299 | + | 0.0374402i | \(0.0119204\pi\) | |||||||
\(678\) | 0.523581 | + | 0.655974i | 0.0201080 | + | 0.0251925i | ||||
\(679\) | 6.76764 | − | 16.1344i | 0.259718 | − | 0.619180i | ||||
\(680\) | 11.3265 | + | 1.65153i | 0.434350 | + | 0.0633333i | ||||
\(681\) | 39.6717 | + | 4.45275i | 1.52022 | + | 0.170630i | ||||
\(682\) | −5.93938 | − | 1.59145i | −0.227431 | − | 0.0609398i | ||||
\(683\) | 6.75781 | + | 25.2205i | 0.258580 | + | 0.965035i | 0.966064 | + | 0.258305i | \(0.0831638\pi\) |
−0.707483 | + | 0.706730i | \(0.750169\pi\) | |||||||
\(684\) | −23.5038 | + | 25.3745i | −0.898688 | + | 0.970219i | ||||
\(685\) | −4.26123 | − | 36.2519i | −0.162813 | − | 1.38512i | ||||
\(686\) | −7.53956 | + | 3.00529i | −0.287862 | + | 0.114743i | ||||
\(687\) | 1.63310 | − | 4.16631i | 0.0623067 | − | 0.158955i | ||||
\(688\) | −0.640676 | − | 2.39103i | −0.0244255 | − | 0.0911573i | ||||
\(689\) | 40.9872 | 1.56149 | ||||||||
\(690\) | −0.0500266 | − | 9.55466i | −0.00190448 | − | 0.363740i | ||||
\(691\) | − | 0.143975i | − | 0.00547707i | −0.999996 | − | 0.00273853i | \(-0.999128\pi\) | ||
0.999996 | − | 0.00273853i | \(-0.000871703\pi\) | |||||||
\(692\) | −6.90417 | + | 6.90417i | −0.262457 | + | 0.262457i | ||||
\(693\) | 2.47373 | + | 14.8845i | 0.0939691 | + | 0.565417i | ||||
\(694\) | − | 9.67610i | − | 0.367300i | ||||||
\(695\) | −10.6565 | − | 8.41474i | −0.404222 | − | 0.319189i | ||||
\(696\) | −16.9378 | + | 7.39851i | −0.642025 | + | 0.280440i | ||||
\(697\) | −10.1413 | − | 10.1413i | −0.384130 | − | 0.384130i | ||||
\(698\) | −1.22715 | + | 0.328813i | −0.0464482 | + | 0.0124458i | ||||
\(699\) | −33.5441 | − | 3.76499i | −1.26875 | − | 0.142405i | ||||
\(700\) | 2.35557 | + | 23.8005i | 0.0890323 | + | 0.899575i | ||||
\(701\) | 18.6373 | 0.703921 | 0.351960 | − | 0.936015i | \(-0.385515\pi\) | ||||
0.351960 | + | 0.936015i | \(0.385515\pi\) | |||||||
\(702\) | −7.54495 | + | 11.0970i | −0.284766 | + | 0.418828i | ||||
\(703\) | 11.0426 | − | 2.95885i | 0.416479 | − | 0.111595i | ||||
\(704\) | 6.17752 | − | 3.56659i | 0.232824 | − | 0.134421i | ||||
\(705\) | −3.68754 | + | 14.0560i | −0.138881 | + | 0.529381i | ||||
\(706\) | −12.7155 | + | 7.34128i | −0.478553 | + | 0.276293i | ||||
\(707\) | 15.5239 | + | 2.11434i | 0.583838 | + | 0.0795178i | ||||
\(708\) | 6.51549 | + | 43.1024i | 0.244867 | + | 1.61989i | ||||
\(709\) | 42.7393i | 1.60511i | 0.596580 | + | 0.802553i | \(0.296526\pi\) | ||||
−0.596580 | + | 0.802553i | \(0.703474\pi\) | |||||||
\(710\) | −5.48527 | − | 2.36187i | −0.205858 | − | 0.0886394i | ||||
\(711\) | −10.2519 | − | 33.1352i | −0.384477 | − | 1.24267i | ||||
\(712\) | −4.28430 | − | 1.14798i | −0.160561 | − | 0.0430222i | ||||
\(713\) | 40.1326 | − | 10.7535i | 1.50298 | − | 0.402722i | ||||
\(714\) | −5.28918 | + | 3.15800i | −0.197943 | + | 0.118185i | ||||
\(715\) | 20.0824 | − | 14.9712i | 0.751039 | − | 0.559890i | ||||
\(716\) | 5.18486 | − | 8.98044i | 0.193767 | − | 0.335615i | ||||
\(717\) | 21.9478 | − | 17.5182i | 0.819656 | − | 0.654228i | ||||
\(718\) | 7.50638 | + | 2.01133i | 0.280135 | + | 0.0750621i | ||||
\(719\) | −9.25514 | − | 16.0304i | −0.345158 | − | 0.597832i | 0.640224 | − | 0.768188i | \(-0.278841\pi\) |
−0.985383 | + | 0.170356i | \(0.945508\pi\) | |||||||
\(720\) | −15.0599 | + | 12.1500i | −0.561248 | + | 0.452804i | ||||
\(721\) | 17.3203 | + | 7.26508i | 0.645041 | + | 0.270566i | ||||
\(722\) | 9.17134 | − | 2.45745i | 0.341322 | − | 0.0914569i | ||||
\(723\) | 7.76262 | − | 6.19591i | 0.288695 | − | 0.230429i | ||||
\(724\) | −5.97149 | −0.221929 | ||||||||
\(725\) | −31.1010 | + | 7.41396i | −1.15506 | + | 0.275348i | ||||
\(726\) | 5.13786 | − | 2.24424i | 0.190684 | − | 0.0832916i | ||||
\(727\) | 8.21463 | + | 30.6574i | 0.304664 | + | 1.13702i | 0.933234 | + | 0.359268i | \(0.116974\pi\) |
−0.628571 | + | 0.777752i | \(0.716360\pi\) | |||||||
\(728\) | −3.51122 | + | 25.7802i | −0.130134 | + | 0.955476i | ||||
\(729\) | 16.7800 | − | 21.1526i | 0.621482 | − | 0.783429i | ||||
\(730\) | −7.43274 | − | 1.08378i | −0.275098 | − | 0.0401126i | ||||
\(731\) | 2.27964 | − | 1.31615i | 0.0843156 | − | 0.0486797i | ||||
\(732\) | −0.375230 | + | 0.0567209i | −0.0138689 | + | 0.00209646i | ||||
\(733\) | −4.15479 | + | 1.11327i | −0.153461 | + | 0.0411197i | −0.334731 | − | 0.942314i | \(-0.608646\pi\) |
0.181271 | + | 0.983433i | \(0.441979\pi\) | |||||||
\(734\) | 2.17795 | + | 3.77231i | 0.0803894 | + | 0.139239i | ||||
\(735\) | −19.0993 | − | 19.2410i | −0.704489 | − | 0.709715i | ||||
\(736\) | 12.9524 | − | 22.4343i | 0.477433 | − | 0.826939i | ||||
\(737\) | −3.07390 | + | 11.4720i | −0.113229 | + | 0.422575i | ||||
\(738\) | −6.14276 | + | 0.235107i | −0.226118 | + | 0.00865441i | ||||
\(739\) | 35.3390 | + | 20.4030i | 1.29997 | + | 0.750535i | 0.980398 | − | 0.197028i | \(-0.0631291\pi\) |
0.319567 | + | 0.947564i | \(0.396462\pi\) | |||||||
\(740\) | 7.19785 | − | 0.846070i | 0.264598 | − | 0.0311021i | ||||
\(741\) | −59.6450 | + | 26.0532i | −2.19111 | + | 0.957088i | ||||
\(742\) | 7.46468 | − | 3.05299i | 0.274037 | − | 0.112079i | ||||
\(743\) | −9.87297 | − | 2.64545i | −0.362204 | − | 0.0970523i | 0.0731272 | − | 0.997323i | \(-0.476702\pi\) |
−0.435331 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(744\) | 17.1705 | + | 12.6610i | 0.629500 | + | 0.464177i | ||||
\(745\) | 21.7350 | + | 3.16922i | 0.796308 | + | 0.116111i | ||||
\(746\) | −1.43603 | + | 2.48727i | −0.0525767 | + | 0.0910655i | ||||
\(747\) | 27.7345 | − | 17.4598i | 1.01475 | − | 0.638822i | ||||
\(748\) | 7.45451 | + | 7.45451i | 0.272564 | + | 0.272564i | ||||
\(749\) | 10.4630 | − | 7.95456i | 0.382310 | − | 0.290653i | ||||
\(750\) | 7.44342 | − | 4.07652i | 0.271795 | − | 0.148854i | ||||
\(751\) | 21.9176 | − | 37.9624i | 0.799784 | − | 1.38527i | −0.119973 | − | 0.992777i | \(-0.538281\pi\) |
0.919757 | − | 0.392489i | \(-0.128386\pi\) | |||||||
\(752\) | −7.65297 | + | 7.65297i | −0.279075 | + | 0.279075i | ||||
\(753\) | −7.45398 | − | 49.3108i | −0.271638 | − | 1.79699i | ||||
\(754\) | −16.5137 | −0.601393 | ||||||||
\(755\) | 11.2417 | + | 8.87687i | 0.409128 | + | 0.323062i | ||||
\(756\) | 5.15411 | − | 24.3148i | 0.187453 | − | 0.884320i | ||||
\(757\) | 10.6515 | + | 10.6515i | 0.387135 | + | 0.387135i | 0.873664 | − | 0.486529i | \(-0.161737\pi\) |
−0.486529 | + | 0.873664i | \(0.661737\pi\) | |||||||
\(758\) | −4.18808 | + | 4.18808i | −0.152118 | + | 0.152118i | ||||
\(759\) | 11.0002 | − | 14.9181i | 0.399283 | − | 0.541494i | ||||
\(760\) | 23.6335 | − | 2.77799i | 0.857276 | − | 0.100768i | ||||
\(761\) | 38.1193 | + | 22.0082i | 1.38182 | + | 0.797795i | 0.992375 | − | 0.123254i | \(-0.0393329\pi\) |
0.389447 | + | 0.921049i | \(0.372666\pi\) | |||||||
\(762\) | 0.0800054 | + | 0.529265i | 0.00289829 | + | 0.0191733i | ||||
\(763\) | 4.36085 | + | 10.6625i | 0.157873 | + | 0.386007i | ||||
\(764\) | − | 27.0161i | − | 0.977408i | ||||||
\(765\) | −16.6249 | − | 12.1249i | −0.601073 | − | 0.438376i | ||||
\(766\) | −4.61068 | − | 2.66198i | −0.166591 | − | 0.0961811i | ||||
\(767\) | −21.2314 | + | 79.2366i | −0.766620 | + | 2.86107i | ||||
\(768\) | −4.71063 | + | 0.712074i | −0.169980 | + | 0.0256947i | ||||
\(769\) | 2.15835 | + | 3.73836i | 0.0778319 | + | 0.134809i | 0.902314 | − | 0.431079i | \(-0.141867\pi\) |
−0.824482 | + | 0.565888i | \(0.808534\pi\) | |||||||
\(770\) | 2.54230 | − | 4.22244i | 0.0916181 | − | 0.152166i | ||||
\(771\) | 14.7791 | + | 33.8346i | 0.532256 | + | 1.21852i | ||||
\(772\) | 3.29688 | + | 3.29688i | 0.118657 | + | 0.118657i | ||||
\(773\) | −17.3783 | + | 4.65650i | −0.625053 | + | 0.167483i | −0.557424 | − | 0.830228i | \(-0.688210\pi\) |
−0.0676294 | + | 0.997711i | \(0.521544\pi\) | |||||||
\(774\) | 0.250120 | − | 1.10018i | 0.00899037 | − | 0.0395453i | ||||
\(775\) | 25.3597 | + | 26.8095i | 0.910947 | + | 0.963026i | ||||
\(776\) | −9.55730 | − | 5.51791i | −0.343087 | − | 0.198081i | ||||
\(777\) | −5.72330 | + | 5.89363i | −0.205322 | + | 0.211433i | ||||
\(778\) | −7.73985 | − | 2.07389i | −0.277487 | − | 0.0743525i | ||||
\(779\) | −25.8217 | − | 14.9082i | −0.925160 | − | 0.534141i | ||||
\(780\) | −39.7994 | + | 10.8879i | −1.42505 | + | 0.389848i | ||||
\(781\) | −5.79267 | − | 10.0332i | −0.207278 | − | 0.359016i | ||||
\(782\) | 7.30950 | + | 1.95857i | 0.261387 | + | 0.0700385i | ||||
\(783\) | 33.1370 | + | 2.44053i | 1.18422 | + | 0.0872175i | ||||
\(784\) | −5.05159 | − | 19.5496i | −0.180414 | − | 0.698199i | ||||
\(785\) | 14.6693 | − | 34.0684i | 0.523571 | − | 1.21595i | ||||
\(786\) | −1.02804 | − | 2.35354i | −0.0366689 | − | 0.0839481i | ||||
\(787\) | 3.66154 | − | 3.66154i | 0.130520 | − | 0.130520i | −0.638829 | − | 0.769349i | \(-0.720581\pi\) |
0.769349 | + | 0.638829i | \(0.220581\pi\) | |||||||
\(788\) | −22.0964 | + | 22.0964i | −0.787151 | + | 0.787151i | ||||
\(789\) | 18.7675 | + | 2.10646i | 0.668139 | + | 0.0749918i | ||||
\(790\) | −4.48073 | + | 10.4062i | −0.159417 | + | 0.370235i | ||||
\(791\) | −1.77051 | − | 2.32884i | −0.0629522 | − | 0.0828040i | ||||
\(792\) | 9.51029 | − | 0.363995i | 0.337933 | − | 0.0129340i | ||||
\(793\) | −0.689797 | − | 0.184831i | −0.0244954 | − | 0.00656353i | ||||
\(794\) | 3.85315 | + | 6.67386i | 0.136743 | + | 0.236846i | ||||
\(795\) | 19.1480 | + | 18.9485i | 0.679108 | + | 0.672034i | ||||
\(796\) | 35.2103 | + | 20.3287i | 1.24800 | + | 0.720531i | ||||
\(797\) | −16.1021 | − | 4.31455i | −0.570366 | − | 0.152829i | −0.0379015 | − | 0.999281i | \(-0.512067\pi\) |
−0.532464 | + | 0.846452i | \(0.678734\pi\) | |||||||
\(798\) | −8.92206 | + | 9.18760i | −0.315837 | + | 0.325237i | ||||
\(799\) | −9.96712 | − | 5.75452i | −0.352611 | − | 0.203580i | ||||
\(800\) | 23.0000 | + | 0.639187i | 0.813172 | + | 0.0225987i | ||||
\(801\) | 5.84962 | + | 5.41836i | 0.206686 | + | 0.191448i | ||||
\(802\) | −11.6373 | + | 3.11821i | −0.410928 | + | 0.110108i | ||||
\(803\) | −10.3034 | − | 10.3034i | −0.363599 | − | 0.363599i | ||||
\(804\) | 11.6108 | − | 15.7461i | 0.409480 | − | 0.555322i | ||||
\(805\) | −0.611339 | + | 33.2979i | −0.0215469 | + | 1.17360i | ||||
\(806\) | 9.53026 | + | 16.5069i | 0.335689 | + | 0.581430i | ||||
\(807\) | 12.7395 | − | 32.5006i | 0.448452 | − | 1.14408i | ||||
\(808\) | 2.55770 | − | 9.54546i | 0.0899795 | − | 0.335808i | ||||
\(809\) | −11.9793 | − | 6.91628i | −0.421171 | − | 0.243163i | 0.274407 | − | 0.961614i | \(-0.411518\pi\) |
−0.695578 | + | 0.718450i | \(0.744852\pi\) | |||||||
\(810\) | −8.65492 | + | 1.69611i | −0.304103 | + | 0.0595953i | ||||
\(811\) | − | 39.7045i | − | 1.39421i | −0.716967 | − | 0.697107i | \(-0.754470\pi\) | ||
0.716967 | − | 0.697107i | \(-0.245530\pi\) | |||||||
\(812\) | 28.3109 | − | 11.5789i | 0.993516 | − | 0.406339i | ||||
\(813\) | 15.0314 | − | 11.9977i | 0.527175 | − | 0.420777i | ||||
\(814\) | −1.29343 | − | 0.746765i | −0.0453348 | − | 0.0261741i | ||||
\(815\) | −10.2547 | + | 1.20539i | −0.359207 | + | 0.0422230i | ||||
\(816\) | −6.13439 | − | 14.0438i | −0.214747 | − | 0.491631i | ||||
\(817\) | 3.86960 | − | 3.86960i | 0.135380 | − | 0.135380i | ||||
\(818\) | 6.96793 | + | 6.96793i | 0.243628 | + | 0.243628i | ||||
\(819\) | 27.2034 | − | 38.0477i | 0.950562 | − | 1.32949i | ||||
\(820\) | −14.8348 | − | 11.7141i | −0.518052 | − | 0.409073i | ||||
\(821\) | −25.0240 | −0.873343 | −0.436671 | − | 0.899621i | \(-0.643843\pi\) | ||||
−0.436671 | + | 0.899621i | \(0.643843\pi\) | |||||||
\(822\) | 9.68435 | − | 7.72979i | 0.337781 | − | 0.269607i | ||||
\(823\) | 36.4053 | − | 36.4053i | 1.26901 | − | 1.26901i | 0.322406 | − | 0.946601i | \(-0.395508\pi\) |
0.946601 | − | 0.322406i | \(-0.104492\pi\) | |||||||
\(824\) | 5.92349 | − | 10.2598i | 0.206355 | − | 0.357417i | ||||
\(825\) | 16.3031 | + | 2.29007i | 0.567600 | + | 0.0797301i | ||||
\(826\) | 2.03534 | + | 16.0122i | 0.0708185 | + | 0.557135i | ||||
\(827\) | 23.1931 | + | 23.1931i | 0.806502 | + | 0.806502i | 0.984103 | − | 0.177601i | \(-0.0568336\pi\) |
−0.177601 | + | 0.984103i | \(0.556834\pi\) | |||||||
\(828\) | −25.8387 | + | 16.2664i | −0.897956 | + | 0.565295i | ||||
\(829\) | −12.6889 | + | 21.9778i | −0.440703 | + | 0.763320i | −0.997742 | − | 0.0671662i | \(-0.978604\pi\) |
0.557039 | + | 0.830487i | \(0.311938\pi\) | |||||||
\(830\) | −10.5932 | − | 1.54461i | −0.367694 | − | 0.0536142i | ||||
\(831\) | 0.890597 | − | 7.93476i | 0.0308945 | − | 0.275254i | ||||
\(832\) | −21.3582 | − | 5.72291i | −0.740462 | − | 0.198406i | ||||
\(833\) | 18.6902 | − | 10.5693i | 0.647577 | − | 0.366206i | ||||
\(834\) | 0.514122 | − | 4.58056i | 0.0178026 | − | 0.158612i | ||||
\(835\) | −15.1981 | + | 1.78646i | −0.525952 | + | 0.0618229i | ||||
\(836\) | 18.9806 | + | 10.9584i | 0.656457 | + | 0.379006i | ||||
\(837\) | −16.6843 | − | 34.5319i | −0.576693 | − | 1.19360i | ||||
\(838\) | 0.914041 | − | 3.41125i | 0.0315750 | − | 0.117840i | ||||
\(839\) | 20.2749 | − | 35.1172i | 0.699969 | − | 1.21238i | −0.268508 | − | 0.963278i | \(-0.586530\pi\) |
0.968477 | − | 0.249104i | \(-0.0801362\pi\) | |||||||
\(840\) | −13.5586 | + | 10.4204i | −0.467815 | + | 0.359539i | ||||
\(841\) | 5.94479 | + | 10.2967i | 0.204993 | + | 0.355058i | ||||
\(842\) | −3.24720 | + | 0.870084i | −0.111906 | + | 0.0299851i | ||||
\(843\) | −5.79313 | + | 14.7792i | −0.199526 | + | 0.509024i | ||||
\(844\) | 30.3521 | − | 17.5238i | 1.04476 | − | 0.603195i | ||||
\(845\) | −48.0694 | − | 7.00910i | −1.65364 | − | 0.241120i | ||||
\(846\) | −4.71259 | + | 1.45806i | −0.162022 | + | 0.0501290i | ||||
\(847\) | −18.0877 | + | 7.39773i | −0.621502 | + | 0.254189i | ||||
\(848\) | 5.19279 | + | 19.3797i | 0.178321 | + | 0.665503i | ||||
\(849\) | −4.02095 | − | 2.96494i | −0.137999 | − | 0.101756i | ||||
\(850\) | 1.55859 | + | 6.53816i | 0.0534591 | + | 0.224257i | ||||
\(851\) | 10.0918 | 0.345944 | ||||||||
\(852\) | 2.85241 | + | 18.8697i | 0.0977218 | + | 0.646466i | ||||
\(853\) | 17.8102 | − | 4.77223i | 0.609809 | − | 0.163398i | 0.0593185 | − | 0.998239i | \(-0.481107\pi\) |
0.550491 | + | 0.834841i | \(0.314441\pi\) | |||||||
\(854\) | −0.139395 | + | 0.0177187i | −0.00476999 | + | 0.000606322i | ||||
\(855\) | −39.9087 | − | 15.4028i | −1.36485 | − | 0.526763i | ||||
\(856\) | −4.14513 | − | 7.17958i | −0.141678 | − | 0.245393i | ||||
\(857\) | 14.1627 | + | 3.79489i | 0.483790 | + | 0.129631i | 0.492467 | − | 0.870331i | \(-0.336095\pi\) |
−0.00867691 | + | 0.999962i | \(0.502762\pi\) | |||||||
\(858\) | 7.91669 | + | 3.10316i | 0.270271 | + | 0.105940i | ||||
\(859\) | 3.89223 | − | 6.74154i | 0.132801 | − | 0.230018i | −0.791954 | − | 0.610581i | \(-0.790936\pi\) |
0.924755 | + | 0.380562i | \(0.124269\pi\) | |||||||
\(860\) | 2.78142 | − | 2.07351i | 0.0948456 | − | 0.0707062i | ||||
\(861\) | 21.4242 | − | 0.314139i | 0.730134 | − | 0.0107058i | ||||
\(862\) | −7.32282 | + | 1.96214i | −0.249416 | + | 0.0668309i | ||||
\(863\) | −12.9796 | − | 3.47786i | −0.441830 | − | 0.118388i | 0.0310443 | − | 0.999518i | \(-0.490117\pi\) |
−0.472874 | + | 0.881130i | \(0.656783\pi\) | |||||||
\(864\) | −22.5798 | − | 7.86851i | −0.768180 | − | 0.267692i | ||||
\(865\) | −11.0916 | − | 4.77587i | −0.377126 | − | 0.162385i | ||||
\(866\) | − | 9.73890i | − | 0.330941i | ||||||
\(867\) | −10.2762 | + | 8.20219i | −0.348998 | + | 0.278561i | ||||
\(868\) | −27.9127 | − | 21.6169i | −0.947418 | − | 0.733725i | ||||
\(869\) | −19.0341 | + | 10.9893i | −0.645687 | + | 0.372788i | ||||
\(870\) | −7.71468 | − | 7.63431i | −0.261552 | − | 0.258827i | ||||
\(871\) | 31.8832 | − | 18.4078i | 1.08032 | − | 0.623724i | ||||
\(872\) | 7.01854 | − | 1.88061i | 0.237678 | − | 0.0636856i | ||||
\(873\) | 10.5693 | + | 16.7890i | 0.357716 | + | 0.568222i | ||||
\(874\) | 15.7322 | 0.532149 | ||||||||
\(875\) | −26.2723 | + | 13.5929i | −0.888166 | + | 0.459523i | ||||
\(876\) | 9.60785 | + | 21.9958i | 0.324619 | + | 0.743168i | ||||
\(877\) | −34.9541 | + | 9.36591i | −1.18032 | + | 0.316264i | −0.795051 | − | 0.606542i | \(-0.792556\pi\) |
−0.385264 | + | 0.922807i | \(0.625890\pi\) | |||||||
\(878\) | 0.943017 | + | 0.943017i | 0.0318253 | + | 0.0318253i | ||||
\(879\) | 2.84829 | − | 25.3768i | 0.0960703 | − | 0.855937i | ||||
\(880\) | 9.62301 | + | 7.59869i | 0.324392 | + | 0.256152i | ||||
\(881\) | 29.8302i | 1.00501i | 0.864576 | + | 0.502503i | \(0.167587\pi\) | ||||
−0.864576 | + | 0.502503i | \(0.832413\pi\) | |||||||
\(882\) | 2.12030 | − | 8.95561i | 0.0713941 | − | 0.301551i | ||||
\(883\) | −36.1208 | + | 36.1208i | −1.21556 | + | 1.21556i | −0.246390 | + | 0.969171i | \(0.579244\pi\) |
−0.969171 | + | 0.246390i | \(0.920756\pi\) | |||||||
\(884\) | − | 32.6792i | − | 1.09912i | ||||||
\(885\) | −46.5499 | + | 27.2015i | −1.56476 | + | 0.914370i | ||||
\(886\) | −2.41639 | −0.0811803 | ||||||||
\(887\) | −4.30380 | − | 16.0620i | −0.144507 | − | 0.539309i | −0.999777 | − | 0.0211254i | \(-0.993275\pi\) |
0.855269 | − | 0.518184i | \(-0.173392\pi\) | |||||||
\(888\) | 3.23255 | + | 4.04993i | 0.108477 | + | 0.135907i | ||||
\(889\) | −0.235264 | − | 1.85084i | −0.00789049 | − | 0.0620752i | ||||
\(890\) | −0.304057 | − | 2.58673i | −0.0101920 | − | 0.0867075i | ||||
\(891\) | −15.4273 | − | 7.39693i | −0.516835 | − | 0.247806i | ||||
\(892\) | −11.9190 | − | 44.4824i | −0.399078 | − | 1.48938i | ||||
\(893\) | −23.1115 | − | 6.19270i | −0.773396 | − | 0.207231i | ||||
\(894\) | 2.98463 | + | 6.83287i | 0.0998209 | + | 0.228525i | ||||
\(895\) | 12.6911 | + | 1.85052i | 0.424217 | + | 0.0618559i | ||||
\(896\) | −28.4720 | + | 3.61913i | −0.951182 | + | 0.120907i | ||||
\(897\) | −56.8107 | + | 8.58768i | −1.89685 | + | 0.286734i | ||||
\(898\) | 1.31585 | − | 1.31585i | 0.0439105 | − | 0.0439105i | ||||
\(899\) | 23.5979 | − | 40.8728i | 0.787034 | − | 1.36318i | ||||
\(900\) | −23.6265 | − | 13.3129i | −0.787551 | − | 0.443763i | ||||
\(901\) | −18.4769 | + | 10.6676i | −0.615554 | + | 0.355391i | ||||
\(902\) | 1.00818 | + | 3.76258i | 0.0335687 | + | 0.125280i | ||||
\(903\) | −0.962025 | + | 3.81309i | −0.0320142 | + | 0.126892i | ||||
\(904\) | −1.59802 | + | 0.922617i | −0.0531493 | + | 0.0306858i | ||||
\(905\) | −2.73127 | − | 6.86198i | −0.0907906 | − | 0.228100i | ||||
\(906\) | −0.542357 | + | 4.83212i | −0.0180186 | + | 0.160537i | ||||
\(907\) | 5.08064 | − | 18.9612i | 0.168700 | − | 0.629596i | −0.828839 | − | 0.559486i | \(-0.810998\pi\) |
0.997539 | − | 0.0701098i | \(-0.0223350\pi\) | |||||||
\(908\) | −10.7850 | + | 40.2500i | −0.357912 | + | 1.33574i | ||||
\(909\) | −12.0721 | + | 13.0330i | −0.400407 | + | 0.432278i | ||||
\(910\) | −14.8277 | + | 3.68272i | −0.491533 | + | 0.122081i | ||||
\(911\) | −7.16777 | + | 12.4149i | −0.237479 | + | 0.411325i | −0.959990 | − | 0.280034i | \(-0.909654\pi\) |
0.722511 | + | 0.691359i | \(0.242988\pi\) | |||||||
\(912\) | −19.8752 | − | 24.9008i | −0.658132 | − | 0.824548i | ||||
\(913\) | −14.6844 | − | 14.6844i | −0.485983 | − | 0.485983i | ||||
\(914\) | 6.27045i | 0.207408i | ||||||||
\(915\) | −0.236804 | − | 0.405242i | −0.00782850 | − | 0.0133969i | ||||
\(916\) | 4.04522 | + | 2.33551i | 0.133658 | + | 0.0771674i | ||||
\(917\) | 3.38874 | + | 8.28561i | 0.111906 | + | 0.273615i | ||||
\(918\) | 0.513056 | − | 6.96618i | 0.0169334 | − | 0.229918i | ||||
\(919\) | 29.6084 | − | 17.0944i | 0.976692 | − | 0.563893i | 0.0754223 | − | 0.997152i | \(-0.475970\pi\) |
0.901270 | + | 0.433258i | \(0.142636\pi\) | |||||||
\(920\) | 20.7865 | + | 3.03092i | 0.685312 | + | 0.0999266i | ||||
\(921\) | 17.2420 | − | 23.3830i | 0.568143 | − | 0.770496i | ||||
\(922\) | 4.11660 | + | 15.3634i | 0.135573 | + | 0.505965i | ||||
\(923\) | −9.29484 | + | 34.6888i | −0.305944 | + | 1.14180i | ||||
\(924\) | −15.7481 | + | 0.230912i | −0.518075 | + | 0.00759645i | ||||
\(925\) | 4.26443 | + | 7.88423i | 0.140214 | + | 0.259232i | ||||
\(926\) | −6.34078 | − | 10.9826i | −0.208371 | − | 0.360909i | ||||
\(927\) | −18.0231 | + | 11.3461i | −0.591955 | + | 0.372656i | ||||
\(928\) | −7.61601 | − | 28.4233i | −0.250008 | − | 0.933042i | ||||
\(929\) | −48.9172 | −1.60492 | −0.802461 | − | 0.596705i | \(-0.796476\pi\) | ||||
−0.802461 | + | 0.596705i | \(0.796476\pi\) | |||||||
\(930\) | −3.17893 | + | 12.1174i | −0.104241 | + | 0.397344i | ||||
\(931\) | 31.8450 | − | 31.2811i | 1.04368 | − | 1.02520i | ||||
\(932\) | 9.11915 | − | 34.0331i | 0.298708 | − | 1.11479i | ||||
\(933\) | 1.20423 | + | 7.96640i | 0.0394246 | + | 0.260808i | ||||
\(934\) | −2.07005 | − | 3.58544i | −0.0677343 | − | 0.117319i | ||||
\(935\) | −5.15656 | + | 11.9757i | −0.168637 | + | 0.391648i | ||||
\(936\) | −21.6435 | − | 20.0478i | −0.707441 | − | 0.655284i | ||||
\(937\) | 30.1693 | − | 30.1693i | 0.985587 | − | 0.985587i | −0.0143106 | − | 0.999898i | \(-0.504555\pi\) |
0.999898 | + | 0.0143106i | \(0.00455537\pi\) | |||||||
\(938\) | 4.43551 | − | 5.72733i | 0.144825 | − | 0.187004i | ||||
\(939\) | −1.28557 | − | 0.947944i | −0.0419530 | − | 0.0309350i | ||||
\(940\) | −13.9318 | − | 5.99880i | −0.454405 | − | 0.195659i | ||||
\(941\) | 40.3933i | 1.31679i | 0.752675 | + | 0.658393i | \(0.228763\pi\) | ||||
−0.752675 | + | 0.658393i | \(0.771237\pi\) | |||||||
\(942\) | 12.4501 | − | 1.88200i | 0.405647 | − | 0.0613188i | ||||
\(943\) | −18.6116 | − | 18.6116i | −0.606076 | − | 0.606076i | ||||
\(944\) | −40.1548 | −1.30693 | ||||||||
\(945\) | 30.2981 | − | 5.19853i | 0.985597 | − | 0.169108i | ||||
\(946\) | −0.714937 | −0.0232446 | ||||||||
\(947\) | −17.2981 | − | 17.2981i | −0.562113 | − | 0.562113i | 0.367794 | − | 0.929907i | \(-0.380113\pi\) |
−0.929907 | + | 0.367794i | \(0.880113\pi\) | |||||||
\(948\) | 35.7980 | − | 5.41133i | 1.16266 | − | 0.175752i | ||||
\(949\) | 45.1682i | 1.46622i | ||||||||
\(950\) | 6.64783 | + | 12.2907i | 0.215684 | + | 0.398764i | ||||
\(951\) | −26.6439 | − | 19.6465i | −0.863988 | − | 0.637082i | ||||
\(952\) | −5.12689 | − | 12.5355i | −0.166163 | − | 0.406276i | ||||
\(953\) | 4.95464 | − | 4.95464i | 0.160497 | − | 0.160497i | −0.622290 | − | 0.782787i | \(-0.713798\pi\) |
0.782787 | + | 0.622290i | \(0.213798\pi\) | |||||||
\(954\) | −2.02726 | + | 8.91717i | −0.0656351 | + | 0.288704i | ||||
\(955\) | 31.0448 | − | 12.3568i | 1.00459 | − | 0.399856i | ||||
\(956\) | 14.6561 | + | 25.3852i | 0.474013 | + | 0.821015i | ||||
\(957\) | −3.14694 | − | 20.8182i | −0.101726 | − | 0.672956i | ||||
\(958\) | −0.383787 | + | 1.43231i | −0.0123996 | + | 0.0462759i | ||||
\(959\) | −34.3814 | + | 26.1386i | −1.11023 | + | 0.844061i | ||||
\(960\) | −7.33217 | − | 12.5475i | −0.236645 | − | 0.404969i | ||||
\(961\) | −23.4746 | −0.757245 | ||||||||
\(962\) | 1.19825 | + | 4.47193i | 0.0386331 | + | 0.144181i | ||||
\(963\) | 0.569987 | + | 14.8923i | 0.0183676 | + | 0.479899i | ||||
\(964\) | 5.18366 | + | 8.97836i | 0.166954 | + | 0.289174i | ||||
\(965\) | −2.28057 | + | 5.29646i | −0.0734142 | + | 0.170499i | ||||
\(966\) | −9.70682 | + | 5.79563i | −0.312312 | + | 0.186471i | ||||
\(967\) | −15.1952 | + | 56.7092i | −0.488644 | + | 1.82365i | 0.0744122 | + | 0.997228i | \(0.476292\pi\) |
−0.563057 | + | 0.826418i | \(0.690375\pi\) | |||||||
\(968\) | 3.19027 | + | 11.9062i | 0.102539 | + | 0.382681i | ||||
\(969\) | 20.1069 | − | 27.2683i | 0.645928 | − | 0.875985i | ||||
\(970\) | 0.935027 | − | 6.41256i | 0.0300219 | − | 0.205895i | ||||
\(971\) | −32.8621 | + | 18.9729i | −1.05460 | + | 0.608871i | −0.923932 | − | 0.382556i | \(-0.875044\pi\) |
−0.130663 | + | 0.991427i | \(0.541711\pi\) | |||||||
\(972\) | 19.2134 | + | 20.6186i | 0.616271 | + | 0.661341i | ||||
\(973\) | −2.16814 | + | 15.9190i | −0.0695074 | + | 0.510339i | ||||
\(974\) | −1.43583 | − | 0.828975i | −0.0460068 | − | 0.0265621i | ||||
\(975\) | −30.7152 | − | 40.7544i | −0.983673 | − | 1.30519i | ||||
\(976\) | − | 0.349569i | − | 0.0111894i | ||||||
\(977\) | −31.7991 | − | 31.7991i | −1.01734 | − | 1.01734i | −0.999847 | − | 0.0174973i | \(-0.994430\pi\) |
−0.0174973 | − | 0.999847i | \(-0.505570\pi\) | |||||||
\(978\) | −2.18656 | − | 2.73945i | −0.0699183 | − | 0.0875979i | ||||
\(979\) | 2.52627 | − | 4.37562i | 0.0807398 | − | 0.139845i | ||||
\(980\) | 22.8382 | − | 16.7103i | 0.729539 | − | 0.533792i | ||||
\(981\) | −12.7372 | − | 2.89572i | −0.406666 | − | 0.0924531i | ||||
\(982\) | −2.95907 | + | 11.0434i | −0.0944276 | + | 0.352409i | ||||
\(983\) | −8.61796 | + | 32.1627i | −0.274870 | + | 1.02583i | 0.681058 | + | 0.732230i | \(0.261520\pi\) |
−0.955928 | + | 0.293601i | \(0.905146\pi\) | |||||||
\(984\) | 1.50744 | − | 13.4305i | 0.0480554 | − | 0.428149i | ||||
\(985\) | −35.4980 | − | 15.2849i | −1.13106 | − | 0.487017i | ||||
\(986\) | 7.44431 | − | 4.29797i | 0.237075 | − | 0.136875i | ||||
\(987\) | 16.5412 | − | 4.69319i | 0.526513 | − | 0.149386i | ||||
\(988\) | −17.5838 | − | 65.6236i | −0.559415 | − | 2.08776i | ||||
\(989\) | 4.18365 | − | 2.41543i | 0.133032 | − | 0.0768062i | ||||
\(990\) | 2.26383 | + | 5.10960i | 0.0719492 | + | 0.162394i | ||||
\(991\) | −0.979823 | + | 1.69710i | −0.0311251 | + | 0.0539102i | −0.881168 | − | 0.472803i | \(-0.843242\pi\) |
0.850043 | + | 0.526713i | \(0.176576\pi\) | |||||||
\(992\) | −24.0163 | + | 24.0163i | −0.762520 | + | 0.762520i | ||||
\(993\) | 28.7777 | − | 4.35013i | 0.913234 | − | 0.138047i | ||||
\(994\) | 0.891047 | + | 7.00994i | 0.0282623 | + | 0.222342i | ||||
\(995\) | −7.25546 | + | 49.7591i | −0.230014 | + | 1.57747i | ||||
\(996\) | 13.6931 | + | 31.3484i | 0.433884 | + | 0.993313i | ||||
\(997\) | −15.6057 | − | 4.18154i | −0.494238 | − | 0.132431i | 0.00308642 | − | 0.999995i | \(-0.499018\pi\) |
−0.497325 | + | 0.867564i | \(0.665684\pi\) | |||||||
\(998\) | −0.0179210 | − | 0.0668822i | −0.000567280 | − | 0.00211712i | ||||
\(999\) | −1.74356 | − | 9.15064i | −0.0551637 | − | 0.289513i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.bs.e.52.18 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.23 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.18 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.18 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.23 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.18 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.23 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.23 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.23 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.18 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.23 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.23 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.18 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.18 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.23 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.18 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.18 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.18 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.18 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.18 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.23 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.18 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.18 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.23 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.23 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.23 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.23 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.23 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.18 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.23 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.23 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.18 | 160 | 9.5 | odd | 6 |